Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296x |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
325269199361232 = 24 · 32 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22863,1001160] |
[a1,a2,a3,a4,a6] |
j |
256000/63 |
j-invariant |
L |
2.0351956358904 |
L(r)(E,1)/r! |
Ω |
0.50879877473243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648y1 121296a1 |
Quadratic twists by: -4 -19 |