Atkin-Lehner |
2- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774m |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-39317436289547702 = -1 · 2 · 118 · 136 · 19 |
Discriminant |
Eigenvalues |
2- -1 4 3 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1658731,-823011969] |
[a1,a2,a3,a4,a6] |
j |
-2354562001552849/183418742 |
j-invariant |
L |
6.3854979591834 |
L(r)(E,1)/r! |
Ω |
0.066515603767527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774f1 |
Quadratic twists by: -11 |