Atkin-Lehner |
3- 5- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
38595f |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-4154389921875 = -1 · 3 · 57 · 31 · 833 |
Discriminant |
Eigenvalues |
2 3- 5- 2 5 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2870,79159] |
[a1,a2,a3,a4,a6] |
j |
2613473323126784/4154389921875 |
j-invariant |
L |
11.163960534566 |
L(r)(E,1)/r! |
Ω |
0.53161716831025 |
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 |
115785e1 |
Quadratic twists by: -3 |