Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
The Roman religion was so intimately interwoven with the Roman commonwealth and the Roman household--so thoroughly in fact the pious reflection of the Roman burgess-world--that the political and social revolution necessarily overturned also the fabric of religion. The ancient Italian popular faith fell to the ground; over its ruins rose--like the oligarchy and the -tyrannis- rising over the ruins of the political commonwealth--on the one side unbelief, state-religion, Hellenism, and on the other side superstition, sectarianism, the religion of the Orientals, The germs certainly of both, as indeed the germs of the politico-social revolution also, may be traced back to the previous epoch (iii. 109-117).
Even then the Greek culture of the higher circles was secretly undermining their ancestral faith; Ennius introduced the allegorizing and historical versions of the Greek religion into Italy; the senate, which subdued Hannibal, had to sanction the transference of the worship of Cybele from Asia Minor to Rome, and to take the most serious steps against other still worse superstitions, particularly the Bacchanalian scandal. But, as during the preceding period the revolution generally was rather preparing its way in men's minds than assuming outward shape, so the religious revolution was in substance, at any rate, the work only of the Gracchan and Sullan age.
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Reference address : https://www.ellopos.net/elpenor/rome/4-12-nationality-religion-education.asp?pg=11