A Twisted AdjointL-Value of an Elliptic Modular Form Original Research Article

We shall show an explicit value of a twisted adjointL-valueL(1, Ad(f)circle times operatorχ) attached tof. Herefis a primitive elliptic cusp form of “Haupt”-type andχa quadratic character. The calculation can be done by using the formula ofL(1, Ad(f)circle times operatorχ) obtained by Hida. This value supports numerically a conjecture of Doi–Hida–Ishii [3].