Atkin-Lehner |
31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64387a |
Isogeny class |
Conductor |
64387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1843345145437 = 317 · 67 |
Discriminant |
Eigenvalues |
0 1 0 2 4 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3203,23482] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:8155:27] |
Generators of the group modulo torsion |
j |
4096000/2077 |
j-invariant |
L |
6.6512282663427 |
L(r)(E,1)/r! |
Ω |
0.73736056492972 |
Real period |
R |
2.2550800050403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2077a1 |
Quadratic twists by: -31 |