Re: L-functions twisted by character

[Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>]

On Mon, Sep 19, 2016 at 09:52:12PM +0200, Jeroen Demeyer wrote:
> On 2016-09-17 10:16, Bill Allombert wrote:
> >What kind of characters do you have in mind ?
> 
> Quadratic Dirichlet characters.

Then why not twist the elliptic curve instead of twisting the 
L function ?

? E=ellinit("11a1");Et=ellinit(elltwist(E,-3));L=lfun(Et,2)
%3 = 1.5103336091533537474673763743037636421

(a slower alternative)

? nf=nfinit(quadpoly(-3,a));F=ellinit(E,nf);lfun(lfundiv(F,E),2)
%4 = 1.5103336091533537474673763743037636421

Cheers,
Bill.