Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800h |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-13593750000 = -1 · 24 · 3 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,687] |
[a1,a2,a3,a4,a6] |
j |
91625216/54375 |
j-invariant |
L |
1.5324767036966 |
L(r)(E,1)/r! |
Ω |
0.76623835185699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17400m1 104400p1 6960n1 |
Quadratic twists by: -4 -3 5 |