Equality of the Darmon and Fontaine–Mazur L-invariants

Let $V_p$ be the $p$-adic representation attached to the space of $p$-new modular forms, let $\mathbf{D}^{FM}=D_{st}(V_p)$ be its associated two-dimensional monodromy module, and let $\mathbf{D}$ be the monodromy module constructed from $p$-adic integration. Write $\mathcal{L}_{\mathbf{D}^{FM}}$ and $\mathcal{L}_{\mathbf{D}}$ for their associated L-invariants. Equality of the L-invariants.

$$\mathcal{L}_{\mathbf{D}}=\mathcal{L}_{\mathbf{D}^{FM}}.$$

This conjecture identifies the L-invariant arising from Darmon cohomology with the Fontaine–Mazur L-invariant of the modular Galois representation. The supplied text gives no resolution, so the conjecture remains open.