Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bp |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
5950530560 = 210 · 5 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-855,-9235] |
[a1,a2,a3,a4,a6] |
j |
31464710893/2708480 |
j-invariant |
L |
8.8773173119733 |
L(r)(E,1)/r! |
Ω |
0.88773173119679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38870k1 |
Quadratic twists by: 13 |