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Old 2010-08-22, 14:52   #1
fivemack
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Feb 2006
Cambridge, England

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Default Elliptic-curve L-function question

I have a mug, on which is written

'If E is X0(11): y^2+y = x^3-x^2-10x-20, then the L_E is q \prod_{n=1}^\infty (1-q^n)^2 (1-q^{11n})^2', with a few hundred terms expanded. And, indeed, the product agrees with the coefficients of

ellan(ellinit([0,-1,1,-10,-20]),100)

Are there any other elliptic curves whose L-functions are such nice infinite products?
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