Golyshev's modularity conjecture for the D3 equation of Fano threefolds

Let $X$ be a smooth Fano threefold, let $i_X$ be its index, and set

$$N=\frac{\deg X}{2i_X^2}.$$

Let $L^\lambda[\Phi(t)]=0$ denote the family of counting equations $D3$ constructed from the Gromov–Witten invariants of $X$.

Golyshev's conjecture. The family of counting equations for $X$ contains an equation

$$L^{\lambda_X}[\Phi(t)]=0$$

whose solution is an Eisenstein series of weight $2$ on $X_0(N)$.

This conjecture predicts modularity for the distinguished solution of the quantum differential equation associated with a smooth Fano threefold. The supplied text does not state whether the claim has been resolved.