Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736h |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1611818343423630576 = -1 · 24 · 36 · 136 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 -4 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,158128,-56135691] |
[a1,a2,a3,a4,a6] |
Generators |
[842:-25947:1] [594:15717:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
5.5491149401912 |
L(r)(E,1)/r! |
Ω |
0.13566300799385 |
Real period |
R |
1.0225917553132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744d1 |
Quadratic twists by: 13 |