Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696bc |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
99265421312 = 213 · 594 |
Discriminant |
Eigenvalues |
2- -2 -4 -3 -4 0 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1160,-1676] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:118:1] |
Generators of the group modulo torsion |
j |
3481/2 |
j-invariant |
L |
1.6981153935716 |
L(r)(E,1)/r! |
Ω |
0.88889712662475 |
Real period |
R |
0.31839368560709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962f1 55696bb1 |
Quadratic twists by: -4 -59 |