Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bg |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1289507328000 = 212 · 32 · 53 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2821,-17555] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1149:8] |
Generators of the group modulo torsion |
j |
2166784/1125 |
j-invariant |
L |
6.7187721361101 |
L(r)(E,1)/r! |
Ω |
0.69334888840729 |
Real period |
R |
4.8451596032849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7935g1 126960bz1 |
Quadratic twists by: -4 -23 |