The label described the Tefilin as a 6th-Century amulet from Egypt.
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Today, Tel Hazor and Tel Abel Beth Maacah represent major archaeological sites offering many insights on the ancient history of Israel.
"Some think that the history of Israel should be written only by relying on sources outside the Bible."
The 2,000-year-old facility was revealed during a salvage excavation by the Israel Antiquities Authority.
Out of 22,000 ancient coins found in the Old City, only four can be traced back to Bar Kochba rebellion.
The appearance was part of a wider narrative by the Palestinian Authority, which insists that archaeological evidence of a continuous Jewish presence in Israel is forgery.
The decision to close the site was made after Israeli tourists were filmed performing "Jewish rituals" at the site.
The cistern, suggested to be dated from the Byzantine period, may be part of upcoming renovations.
The cave is the largest known such cave in Israel, contained a wealth of ancient artifacts: decorated ossuaries, burial offerings, jars, stone tools and more.