Atkin-Lehner |
7- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71393c |
Isogeny class |
Conductor |
71393 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
171414593 = 76 · 31 · 47 |
Discriminant |
Eigenvalues |
-1 0 2 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1504,22810] |
[a1,a2,a3,a4,a6] |
Generators |
[310:1017:8] |
Generators of the group modulo torsion |
j |
3196010817/1457 |
j-invariant |
L |
4.9984994621609 |
L(r)(E,1)/r! |
Ω |
1.7816225687808 |
Real period |
R |
2.8055883154007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1457a2 |
Quadratic twists by: -7 |