Atkin-Lehner |
2+ 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992w |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
4944995328 = 210 · 3 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408,-114076] |
[a1,a2,a3,a4,a6] |
j |
9252243062500/4829097 |
j-invariant |
L |
3.515570445269 |
L(r)(E,1)/r! |
Ω |
0.58592840587591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496p1 |
Quadratic twists by: -4 |