Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800bp |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
15138000 = 24 · 32 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63,-72] |
[a1,a2,a3,a4,a6] |
j |
14047232/7569 |
j-invariant |
L |
3.604277790867 |
L(r)(E,1)/r! |
Ω |
1.8021388954324 |
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 |
17400bj1 104400bx1 34800s1 |
Quadratic twists by: -4 -3 5 |