Atkin-Lehner |
2- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57038k |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133760 |
Modular degree for the optimal curve |
Δ |
-101969312498164 = -1 · 22 · 199 · 79 |
Discriminant |
Eigenvalues |
2- 0 -1 0 -4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7288,-539825] |
[a1,a2,a3,a4,a6] |
j |
-132651/316 |
j-invariant |
L |
0.96446673926358 |
L(r)(E,1)/r! |
Ω |
0.24111668556494 |
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 |
57038b1 |
Quadratic twists by: -19 |