Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102c |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-3.1180361597319E+19 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 2 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,289716,-261842550] |
[a1,a2,a3,a4,a6] |
Generators |
[6348:504165:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
4.9074864441721 |
L(r)(E,1)/r! |
Ω |
0.10252423355397 |
Real period |
R |
5.9833249589583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 |
Quadratic twists by: 17 |