In 'John 2:20' the Jews tell Jesus during his first year of ministry that the temple has been under construction for 46 years.
The Jews then said, “It has taken forty-six years to build this temple, and will you raise it up in three days?” -- John 2:20The historian Josephus in his Antiquities tells us that construction began in the 18th year of Herod the Great, 734–735AUC. (AUC = "ab urbe condita" a Latin phrase meaning "from the founding of the City" (Rome), 0AUC = 753 BC).
And now Herod, in the eighteenth year of his reign, and after the acts already mentioned, undertook a very great work; that is to build of himself the temple of God -- Josephus ANT XV.11.1
So the year construction began is 734 more than 0 in AUC, or 734 less than 753BC which counts in the other direction.