Atkin-Lehner |
2- 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38628b |
Isogeny class |
Conductor |
38628 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-6237340416 = -1 · 28 · 33 · 293 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 4 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,408,-2092] |
[a1,a2,a3,a4,a6] |
j |
1086676992/902393 |
j-invariant |
L |
4.4494321190324 |
L(r)(E,1)/r! |
Ω |
0.74157201984807 |
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 |
38628a1 |
Quadratic twists by: -3 |