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We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctivecases depending on whether the AdS(2) solution can be lifted to an AdS(3)geometry. In both cases, in order to get a consistent boundary condition weneed to work with a twisted energy momentum tensor which has non-zero centralcharge. With this central charge and the explicit form of the twisted Virasorogenerators we compute the entropy of the system using the Cardy formula. Theentropy is found to be the same as that obtained from gravity calculations fora specific value of the level of the U(1) current. The agreement is anindication of $AdS(2)/CFT(1) correspondence.

Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence