Atkin-Lehner |
2- 3- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bh |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
40988928000000 = 214 · 3 · 56 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20816,-1115904] |
[a1,a2,a3,a4,a6] |
j |
997509071109143809/40988928000000 |
j-invariant |
L |
5.5786343675798 |
L(r)(E,1)/r! |
Ω |
0.3984738833987 |
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 |
90630z1 |
Quadratic twists by: -3 |