Greenberg's conjectural formula for the exceptional-zero \mathcal{L}-invariant

Let $V$ be a $p$-adic ordinary exceptional Galois representation, and assume that hypotheses S, T, and U are satisfied. Let $L_p(V,S)$ denote the conjectured $p$-adic $L$-function of $V$, let $e$ be the order of its trivial zero at $S=0$, let $\varepsilon'(V)$ be the specified product of Euler-like factors, and let $\Omega_V$ be the Deligne period of $V$. Greenberg's conjecture. There is a constant $\mathcal{L}^{\mathrm{Gr}}(V)\in\mathbb{C}_p\setminus\{0\}$ such that

$$\lim_{S\to0}\frac{L_p(V,S)}{S^e}=\mathcal{L}^{\mathrm{Gr}}(V)\varepsilon'(V)\frac{L_{\infty}(V,0)}{\Omega_V}.$$

This is the conjectural exceptional-zero formula for the $p$-adic $L$-function of an ordinary Galois representation. The supplied text places it in the context of Greenberg's work and gives no resolution status for this general statement.