Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7656d |
Isogeny class |
Conductor |
7656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
255771648 = 210 · 33 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-528] |
[a1,a2,a3,a4,a6] |
j |
592143556/249777 |
j-invariant |
L |
4.0813608021306 |
L(r)(E,1)/r! |
Ω |
1.3604536007102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15312d1 61248d1 22968q1 84216t1 |
Quadratic twists by: -4 8 -3 -11 |