Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62436s |
Isogeny class |
Conductor |
62436 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
223108776676368 = 24 · 32 · 117 · 433 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- -4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116442,-15315687] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:129:1] |
Generators of the group modulo torsion |
j |
6159994394368/7871193 |
j-invariant |
L |
7.9777746650818 |
L(r)(E,1)/r! |
Ω |
0.25846703036296 |
Real period |
R |
0.85738150619975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676g1 |
Quadratic twists by: -11 |