Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870o |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-22180332160 = -1 · 27 · 5 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4363,-110053] |
[a1,a2,a3,a4,a6] |
j |
-12983567409/31360 |
j-invariant |
L |
4.1114614815765 |
L(r)(E,1)/r! |
Ω |
0.29367581993859 |
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 |
58870b1 |
Quadratic twists by: 29 |