Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640by |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
100252800000 = 210 · 32 · 55 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37421,-2773779] |
[a1,a2,a3,a4,a6] |
Generators |
[-5626183:-199140:50653] |
Generators of the group modulo torsion |
j |
5659545137022976/97903125 |
j-invariant |
L |
5.9805140572674 |
L(r)(E,1)/r! |
Ω |
0.34325762326306 |
Real period |
R |
8.7114074852446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640y1 14160i1 |
Quadratic twists by: -4 8 |