Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461m |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
2217654590697 = 38 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-237708,44667531] |
[a1,a2,a3,a4,a6] |
j |
17319700013617/25857 |
j-invariant |
L |
1.3986738300741 |
L(r)(E,1)/r! |
Ω |
0.69933686062921 |
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 |
32487l1 1989e1 |
Quadratic twists by: -3 -7 |