Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400d |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
525905156250000 = 24 · 311 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47708,3872037] |
[a1,a2,a3,a4,a6] |
j |
76857529600/3365793 |
j-invariant |
L |
1.0312987495172 |
L(r)(E,1)/r! |
Ω |
0.5156493747586 |
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 |
22800v1 91200cs1 34200cl1 11400bn1 |
Quadratic twists by: -4 8 -3 5 |