Atkin-Lehner |
3- 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595g |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-31044158415 = -1 · 34 · 5 · 314 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,380,8015] |
[a1,a2,a3,a4,a6] |
j |
6067406185919/31044158415 |
j-invariant |
L |
3.3763713802875 |
L(r)(E,1)/r! |
Ω |
0.84409284506466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115785i1 |
Quadratic twists by: -3 |