Moments of derivatives of modular $L$-functions

Let $f$ be an Hecke eigenform for the group ${\mathrm{\Gamma }}_0(q)$ and ${\chi }_d$ be a primitive quadratic character of conductor $\mathrm{\mid }d\mathrm{\mid }$. In this article, we prove an asymptotic for the second moment of the derivative of $L(s,f\otimes {\chi }_{8d})$ at the central point $1\mathrm{/}2$, which was previously known under GRH by Petrow \cite{petrow}.