Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bl |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1455104 |
Modular degree for the optimal curve |
Δ |
846056753312680080 = 24 · 36 · 5 · 299 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-315533,-51839963] |
[a1,a2,a3,a4,a6] |
j |
328509/80 |
j-invariant |
L |
6.5603840028018 |
L(r)(E,1)/r! |
Ω |
0.20501199977698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8410f1 75690k1 |
Quadratic twists by: -3 29 |