Atkin-Lehner |
2- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224k |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-140521472 = -1 · 212 · 7 · 132 · 29 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 0 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-880,-10064] |
[a1,a2,a3,a4,a6] |
j |
-18399744000/34307 |
j-invariant |
L |
0.87645648437693 |
L(r)(E,1)/r! |
Ω |
0.43822824212447 |
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 |
2639a1 |
Quadratic twists by: -4 |