Question regarding Shimura lift

["LNU, Swati" <S10@email.sc.edu>]

Hello,

I wanted to ask that given an integer weight form, say f(z) = \eta(z) \eta(2z) \eta(7z) \eta(14z) \in S_{2}(14), is there a way using Pari/gp to determine the half integer weight form F(z) such that Shimura lift Sh_{t} (F(z)) = f(z) for any square-free t? 

Regards,

Swati

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