Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125948h |
Isogeny class |
Conductor |
125948 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
6129637264 = 24 · 234 · 372 |
Discriminant |
Eigenvalues |
2- -3 -3 1 0 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1369,19129] |
[a1,a2,a3,a4,a6] |
Generators |
[25:23:1] |
Generators of the group modulo torsion |
j |
12954200832/279841 |
j-invariant |
L |
2.6613968544498 |
L(r)(E,1)/r! |
Ω |
1.3416648266044 |
Real period |
R |
0.16530437440608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000287653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125948c1 |
Quadratic twists by: 37 |