Let $k$ be a field of characteristic zero, $X=\mathbb{G}_{m, k}=\mathrm{Spec}\ k[t, t^{-1}]$ the multiplicative group over k and $E=\mathcal{O}_X$ the trivial line bundle.

Consider the connection $\nabla: E \to E \otimes_{\mathcal{O}_X} \Omega^1_X$ defined by $\nabla(1)=\alpha \frac{dt}{t}$ for some $\alpha \in \mathbb{C}$, that is:

$\nabla=d+\alpha \frac{dt}{t}\wedge$

**My question is**: has $(E, \nabla)$ regular singularities?

Thanks for you help