Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
111540k |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6080256 |
Modular degree for the optimal curve |
Δ |
102044976566504400 = 24 · 37 · 52 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17614081,-28447782650] |
[a1,a2,a3,a4,a6] |
j |
3561997012123648/601425 |
j-invariant |
L |
3.6110257507734 |
L(r)(E,1)/r! |
Ω |
0.073694412291899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111540t1 |
Quadratic twists by: 13 |