List the four emperors who intervened in the conquest of Jerusalem, from the person who started it, to those who put down the Jewish revolts.

The siege of Jerusalem in the year 70 CE was the decisive event of the First Jewish–Roman War, in which the Roman army captured the city of Jerusalem and destroyed both the city and its Temple. The Roman army, led by the future Emperor Titus, with Tiberius Julius Alexander as his second-in-command, besieged and conquered the city of Jerusalem, which had been controlled by Judean rebel factions since 66 CE, following the Jerusalem riots of 66, when the Judean provisional government was formed in Jerusalem.

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