This is the lesser known monastery of Akhtala near Sanahin and Haghbat, when visiting these two locals, make sure to visit Akhtala too.
Brief history (from Wikipedia.com): Between 1887 and 1889 the French archaeologist Jacques de Morgan discovered 576 rectangular stone sepulchers, along with cultural items made of clay, bronze and iron near Akhtala dating back to the 8th century BC. The settlement of modern Akhtala was known as Agarak in the 5th century. The fortress was almost certainly built on top of Bronze and Iron Age foundations. It was built in the late tenth century by the Kyurikids, this branch of the Bagratunis originated from Gurgen (the name was pronounced Kyurikeh in the local dialect of Gugark). He was the son of the patrons of Sanahin and Haghpat monasteries located not far from Akhtala, King Ashot III the Merciful and Queen Khosrovanush. Gurgen’s brothers were King Smbat II the Conqueror and Gagik I Bagratuni, under whom the Bagratuni Kingdom of Ani reached the peak of its prosperity.