Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31460b |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
134874607925200 = 24 · 52 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19521,895270] |
[a1,a2,a3,a4,a6] |
Generators |
[118:470:1] |
Generators of the group modulo torsion |
j |
1982464/325 |
j-invariant |
L |
4.5427451838577 |
L(r)(E,1)/r! |
Ω |
0.5576001647059 |
Real period |
R |
4.0734790548831 |
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 |
125840bg1 31460g1 |
Quadratic twists by: -4 -11 |