Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422t |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-42475914 = -1 · 2 · 39 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -1 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41,339] |
[a1,a2,a3,a4,a6] |
j |
-10218313/58266 |
j-invariant |
L |
7.0248529672094 |
L(r)(E,1)/r! |
Ω |
1.7562132418023 |
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 |
6474f1 |
Quadratic twists by: -3 |