Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144w |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-841732407296 = -1 · 214 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3 -3 -2 11- -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2299,61226] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
1.6479378987317 |
L(r)(E,1)/r! |
Ω |
0.82396895102215 |
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 |
7018d1 464g1 |
Quadratic twists by: -4 -11 |