Atkin-Lehner |
2- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59926i |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1321920 |
Modular degree for the optimal curve |
Δ |
-807125963239718912 = -1 · 217 · 197 · 832 |
Discriminant |
Eigenvalues |
2- -1 4 1 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638436,-201314459] |
[a1,a2,a3,a4,a6] |
j |
-611722215487369/17156145152 |
j-invariant |
L |
5.7329870411748 |
L(r)(E,1)/r! |
Ω |
0.084308632992097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154a1 |
Quadratic twists by: -19 |