Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2506752000000 = 220 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,63937] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:384:1] [-33:400:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
9.9088835314877 |
L(r)(E,1)/r! |
Ω |
0.74754090747517 |
Real period |
R |
3.3138265186014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600iw1 2550bd1 3264o1 |
Quadratic twists by: -4 8 5 |