Atkin-Lehner |
2+ 5+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050b |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
136544157500000000 = 28 · 510 · 233 · 672 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -3 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130325,-3497875] |
[a1,a2,a3,a4,a6] |
j |
25067560768225/13982121728 |
j-invariant |
L |
1.0787817103991 |
L(r)(E,1)/r! |
Ω |
0.2696954401822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050s1 |
Quadratic twists by: 5 |