Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72520g |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
5571856640 = 28 · 5 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2956,-60780] |
[a1,a2,a3,a4,a6] |
Generators |
[352356786:-1377384112:5000211] |
Generators of the group modulo torsion |
j |
94875856/185 |
j-invariant |
L |
9.2016996710204 |
L(r)(E,1)/r! |
Ω |
0.64753325589756 |
Real period |
R |
14.210389327884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1480c1 |
Quadratic twists by: -7 |