As many as 13,000 people, most of them civilian opposition supporters, have been executed in secret at a prison in Syria, Amnesty International says.

A new report by the human rights group alleges that mass hangings took place every week at Saydnaya prison between September 2011 and December 2015.

Amnesty says the alleged executions were authorised at the highest levels of the Syrian government.

The government has previously denied killing or mistreating detainees.

However, UN human rights experts said a year ago that witness accounts and documentary evidence strongly suggested that tens of thousands of people were being detained and that "deaths on a massive scale" were occurring in custody.

Amnesty interviewed 84 people, including former guards, detainees and prison officials for its report.

It alleges that every week, and often twice a week, groups of between 20 and 50 people were executed in total secrecy at the facility, just north of Damascus.

Before their execution, detainees were brought before a "military field court" in the capital's Qaboun district for "trials" lasting between one and three minutes, the report says.

A former military court judge quoted by Amnesty said detainees would be asked if they had committed crimes alleged to have taken place. "Whether the answer is 'yes' or 'no', he will be convicted... This court has no relation with the rule of law," he said.

According to the report, detainees were told on the day of the hangings that they would be transferred to a civilian prison then taken to a basement cell and beaten over the course of two or three hours.

Then in the middle of the night they were blindfolded and moved to another part of the prison, where they were taken into a room in the basement and told they had been sentenced to death just minutes before nooses were placed around their necks, the report adds.

The bodies of those killed were allegedly then loaded onto lorries, and transferred to Tishreen military hospital in Damascus for registration and burial in mass graves located on military land.

On the basis of evidence of the testimony of its witnesses, Amnesty estimates that between 5,000 and 13,000 people were executed at Saydnaya over five years.

Although it does not have evidence of executions taking place since December 2015, the group says it has no reason to believe they have stopped and that thousands more were likely to have died.

Amnesty says these practices amounted to war crimes and crimes against humanity.

It also notes that death sentences have to be approved by the grand mufti and by either the defence minister or the army's chief of staff, who are deputised to act on behalf of President Bashar al-Assad.

The human rights group says it contacted the Syrian authorities about the allegations in early January but has received no response.

Last August, Amnesty reported that an estimated 17,723 people had died in custody as a result of torture and the deprivation of food, water and medical care between March 2011 - when the uprising against President Assad began - and December 2015. That figure did not include those allegedly hanged at Saydnaya.