Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696bb |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4757760 |
Modular degree for the optimal curve |
Δ |
4.1870684430389E+21 |
Discriminant |
Eigenvalues |
2- -2 -4 -3 4 0 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4039120,263440404] |
[a1,a2,a3,a4,a6] |
Generators |
[-1494:54456:1] |
Generators of the group modulo torsion |
j |
3481/2 |
j-invariant |
L |
3.0000921014751 |
L(r)(E,1)/r! |
Ω |
0.11834658478107 |
Real period |
R |
6.337513049278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962m1 55696bc1 |
Quadratic twists by: -4 -59 |