Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824bk |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
77208588288 = 212 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77619,8323378] |
[a1,a2,a3,a4,a6] |
j |
17319700013617/25857 |
j-invariant |
L |
3.7005428317718 |
L(r)(E,1)/r! |
Ω |
0.92513570794276 |
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 |
1989e1 127296cg1 10608ba1 |
Quadratic twists by: -4 8 -3 |