Atkin-Lehner |
19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32129a |
Isogeny class |
Conductor |
32129 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17820 |
Modular degree for the optimal curve |
Δ |
4187083409 = 196 · 89 |
Discriminant |
Eigenvalues |
-1 -2 -2 2 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-549,-3896] |
[a1,a2,a3,a4,a6] |
j |
389017/89 |
j-invariant |
L |
0.5012490457049 |
L(r)(E,1)/r! |
Ω |
1.0024980914065 |
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 |
89b2 |
Quadratic twists by: -19 |