Democratic nominee Martha Coakley has agreed to three more debates before the Massachusetts Senate special election on Jan. 19, for a total of five debates in general election contest.

Coakley, the state’s attorney general and heavy favorite in the race, will join state Sen. Scott Brown, the Republican nominee, in a debates hosted by WTKK radio on Jan. 5, WGBY television on Jan. 8 and the Kennedy Institute on Jan. 11.

The two major party candidates, along with independent candidate Joseph L. Kennedy (no relation to the powerful Kennedy political clan), had their first televised debate Tuesday night in Allston, Mass., which will be broadcast on Sunday morning and Monday night. The three candidates have also participated in a radio debate.