Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424df |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
982919261376 = 26 · 314 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3552,64890] |
[a1,a2,a3,a4,a6] |
j |
77461316057152/15358113459 |
j-invariant |
L |
5.8360506383508 |
L(r)(E,1)/r! |
Ω |
0.83372151977453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cc1 23712n2 |
Quadratic twists by: -4 8 |