Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776w |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
720318938320207872 = 220 · 312 · 293 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368664,75743892] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:11136:1] |
Generators of the group modulo torsion |
j |
1352873328206581657/175859115800832 |
j-invariant |
L |
5.3251418667813 |
L(r)(E,1)/r! |
Ω |
0.27499672271146 |
Real period |
R |
0.53789952813542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9222c1 |
Quadratic twists by: -4 |