Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bz |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1301562642051366912 = 218 · 34 · 711 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8528760,9589558896] |
[a1,a2,a3,a4,a6] |
j |
142374842119352809/2700952128 |
j-invariant |
L |
0.99999800648772 |
L(r)(E,1)/r! |
Ω |
0.24999950037214 |
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 |
9114p1 10416bm1 |
Quadratic twists by: -4 -7 |