Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600v |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8331264 |
Modular degree for the optimal curve |
Δ |
8875000000000000000 = 215 · 518 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 2 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161089633,786900572863] |
[a1,a2,a3,a4,a6] |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
5.3257639397338 |
L(r)(E,1)/r! |
Ω |
0.1664301122464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600f1 56800d1 22720v1 |
Quadratic twists by: -4 8 5 |