Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77740o |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
307008 |
Modular degree for the optimal curve |
Δ |
312196461541120 = 28 · 5 · 139 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 1 2 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141340,-20481980] |
[a1,a2,a3,a4,a6] |
Generators |
[-2708112:21970:12167] |
Generators of the group modulo torsion |
j |
115024912/115 |
j-invariant |
L |
8.7384242123923 |
L(r)(E,1)/r! |
Ω |
0.24624027947849 |
Real period |
R |
5.9145645805994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77740g1 |
Quadratic twists by: 13 |