Kurihara's nonvanishing conjecture for modular symbols

Let $E/\mathbb{Q}$ be the elliptic curve in the setup, let $p$ be an odd prime satisfying the irreducibility and Manin-constant hypotheses, and let ${\rm Tam}_E=\prod_{\ell\mid N}c_\ell$ be the product of the Tamagawa factors. For $n\in\mathcal{N}$, let $\bar{\delta}_n\in\mathbb{F}_p$ be the reduction modulo $p$ of Kurihara's modular-symbol quantity $\delta_n$. Kurihara's nonvanishing conjecture. If $p\nmid{\rm Tam}_E$, then there exists $n\in\mathcal{N}$ such that $\bar{\delta}_n\neq 0$. This conjecture predicts nonvanishing of at least one refined modular-symbol quantity under the stated local hypotheses; the source does not state a resolution.