Note that the date 520-70 BCE is for the whole 2nd Temple period, not for the Men of the Great Assembly. Jewish history records their dates rather precisely, naming each leader after them. Christian sources have their own reasons for altering dates.
http://www.ou.org/about/judaism/anshei.htm
Judaism 101
A Glossary of Basic Jewish Terms and Concepts
Anshei Knesset HaGedolah
Anshei Knesset HaGedolah (Men of the Great Assembly) founded by Ezra in approximately 520 B.C.E., this institution of Torah Sages led the Jewish People at the beginning of the Second Temple Era (ca. 520 B.C.E. - 70 C.E.). It included Mordechai and the last of the prophets Chaggai, Zechariah and Malachi.
Among the accomplishments of the Anshei Knesset HaGedolah were finalizing the contents of the Tanach,the 24-Book Hebrew Bible, instituting the Shemoneh Esray Prayer (recited at least three times daily, and ultimately to serve as a substitute for the Temple Sacrifices), and the enacting of many Laws to protect and bolster the observance of the Torah Commands.
According to Pirkei Avot (1:1), they are the fifth link in the Chain of Jewish Tradition: 1) Moshe receives it from Sinai and teaches it to 2) Yehoshua to the 3) Elders to the 4) Prophets to the 5) Anshei Knesset HaGedolah, at the end of the Biblical Period (ca. 520 B.C.E.). Pirkei Avot (1:2) also identifies Shimon HaTzaddik (Shimon the Righteous) among the last of the Men of the Great Assembly at the beginning of the Talmudic Period (ca. 200 B.C.E.)...