Atkin-Lehner |
2- 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670cj |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
60362840250000 = 24 · 311 · 56 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60602,5745129] |
[a1,a2,a3,a4,a6] |
j |
33763723619018329/82802250000 |
j-invariant |
L |
7.5074505468736 |
L(r)(E,1)/r! |
Ω |
0.6256208584306 |
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 |
40890b1 |
Quadratic twists by: -3 |