Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96100f |
Isogeny class |
Conductor |
96100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-6878153527750000 = -1 · 24 · 56 · 317 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 6 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56058,-6500987] |
[a1,a2,a3,a4,a6] |
Generators |
[120547859355:-102611372435441:166375] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
5.5100642349398 |
L(r)(E,1)/r! |
Ω |
0.15242908237881 |
Real period |
R |
18.07418948192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3844c1 3100e1 |
Quadratic twists by: 5 -31 |