Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960bh |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
30500978688000 = 228 · 32 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18881,956319] |
[a1,a2,a3,a4,a6] |
Generators |
[66:45:1] |
Generators of the group modulo torsion |
j |
2839760855281/116352000 |
j-invariant |
L |
5.6480063092432 |
L(r)(E,1)/r! |
Ω |
0.65447563580035 |
Real period |
R |
4.3149095227071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960ci1 3030q1 |
Quadratic twists by: -4 8 |