  We finalize the analysis of the trace formula initiated in
\cite{Altug:2015aa} and developed in \cite{Altug:2015ab}, and calculate the
asymptotic expansion of the beyond endoscopic averages for the standard
$L$-functions attached to weight $k\geq3$ cusp forms on $GL(2)$ (cf. Theorem
\ref{mainthm}). This, in particular, constitutes the first example of beyond
endoscopy executed via the Arthur-Selberg trace formula, as originally proposed
in \cite{Langlands:2004aa}. As an application we also give a new proof of the
analytic continuation of the $L$-function attached to Ramanujan's
$\Delta$-function.
