The quarter-integrality conjecture for harmonic Maass-form periods

Let $\Delta$ and $r$ be as in the preceding notation, let $E_\Delta$ be the corresponding elliptic curve with minimal Weierstrass model $W_\Delta$, and let $\underline{\alpha}_{\Delta,r}(f)$ be the differential on $W_\Delta$ associated with the point $P_{\Delta,r}(f)$. Quarter-integrality conjecture. Then

$$\Delta c^{+}(\varepsilon\Delta,r)-\frac{\varepsilon c_E}{\Omega(E_\Delta)}\cdot\Re\int_{W_\Delta(\mathbb{R})}\underline{\alpha}_{\Delta,r}(f)\in\frac{1}{4}\mathbb{Z}.$$

This gives the explicit quarter-integral refinement of the period formula for coefficients of harmonic Maass forms; the supplied text does not indicate whether the conjecture has been resolved.