Atkin-Lehner |
2- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57038q |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43488 |
Modular degree for the optimal curve |
Δ |
-4506002 = -1 · 2 · 192 · 792 |
Discriminant |
Eigenvalues |
2- 3 4 -4 5 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27,79] |
[a1,a2,a3,a4,a6] |
j |
6241671/12482 |
j-invariant |
L |
13.536988214671 |
L(r)(E,1)/r! |
Ω |
1.6921235275911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57038a1 |
Quadratic twists by: -19 |