Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cp |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
9577676411406250 = 2 · 57 · 711 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107213,-12709719] |
[a1,a2,a3,a4,a6] |
j |
74140932601/5210170 |
j-invariant |
L |
1.0600252066863 |
L(r)(E,1)/r! |
Ω |
0.26500631416358 |
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 |
15190h1 10850r1 |
Quadratic twists by: 5 -7 |