Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18850a |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
603200000000 = 212 · 58 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4375,103125] |
[a1,a2,a3,a4,a6] |
j |
592915705201/38604800 |
j-invariant |
L |
3.5979889037777 |
L(r)(E,1)/r! |
Ω |
0.89949722594442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770g1 |
Quadratic twists by: 5 |