How to prove that $E_6(e^{\frac{2\pi i}{3}})\ne 0$ where $E_6$ is the Eisenstein series of weight 6?

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The fact that $E_6(e^{\frac{2\pi i}{3}})\ne 0$ is considered to be obvious in some proofs of the facts about the Eisenstein series that I read, but I can't see it myself.

Please, help me to make it clear.