Abstract

AbstractIn this paper, we prove that, for an integerrwith (r, 6) = 1 and 0< r <24 and a nonnegative even integers, the setis isomorphic toas Hecke modules under the Shimura correspondence. HereMs(1) denotes the space of modular forms of weightis the space of newforms of weight 2kon Γ0(6) that are eigenfunctions with eigenvalues€2and€3for Atkin-Lehner involutionsW2andW3, respectively, and the notation ⊕(12/.) means the twist by the quadratic character (12/-). There is also an analogous result for the cases (r, 6) = 3.

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