Atkin-Lehner |
2- 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bb |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
67170910171299840 = 230 · 33 · 5 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177578,-25918999] |
[a1,a2,a3,a4,a6] |
j |
22936393788137975907/2487811487825920 |
j-invariant |
L |
4.6840954275635 |
L(r)(E,1)/r! |
Ω |
0.2342047713769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
49590i3 |
Quadratic twists by: -3 |