Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ex |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-84564000000 = -1 · 28 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1086975,-436191750] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
3.6225194897717 |
L(r)(E,1)/r! |
Ω |
0.07392897248143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100ba1 11600x1 4176bj1 |
Quadratic twists by: -4 -3 5 |