Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14384h |
Isogeny class |
Conductor |
14384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
235667456 = 218 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 3 4 2 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,4122] |
[a1,a2,a3,a4,a6] |
j |
3196010817/57536 |
j-invariant |
L |
3.5264395276534 |
L(r)(E,1)/r! |
Ω |
1.7632197638267 |
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 |
1798c1 57536s1 129456bp1 |
Quadratic twists by: -4 8 -3 |