Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350u |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
73406250000 = 24 · 34 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2188,36992] |
[a1,a2,a3,a4,a6] |
j |
74140932601/4698000 |
j-invariant |
L |
4.2908855255742 |
L(r)(E,1)/r! |
Ω |
1.0727213813936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34800bw1 13050g1 870a1 126150a1 |
Quadratic twists by: -4 -3 5 29 |