Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224l |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-2629585137041408 = -1 · 235 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76664,8560240] |
[a1,a2,a3,a4,a6] |
j |
-12165889133809657/641988558848 |
j-invariant |
L |
1.8004873199423 |
L(r)(E,1)/r! |
Ω |
0.45012182997269 |
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 |
5278a1 |
Quadratic twists by: -4 |