Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405v |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
276950016 |
Modular degree for the optimal curve |
Δ |
1.3737480862759E+30 |
Discriminant |
Eigenvalues |
0 3- 5- 4 4 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13279232892,-586283827583093] |
[a1,a2,a3,a4,a6] |
j |
5705690236075638784/30267225703125 |
j-invariant |
L |
2.3634896234968 |
L(r)(E,1)/r! |
Ω |
0.014068409576831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42135b1 126405l1 |
Quadratic twists by: -3 53 |