Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024bn |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2576950848 = 26 · 38 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165693,-25959980] |
[a1,a2,a3,a4,a6] |
Generators |
[301341772676240:-18842283808359201:76225024000] |
Generators of the group modulo torsion |
j |
10782729081049024/55233 |
j-invariant |
L |
10.636071238422 |
L(r)(E,1)/r! |
Ω |
0.2366320218628 |
Real period |
R |
22.473862907893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024r1 31008h1 |
Quadratic twists by: -4 -3 |