Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152b |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-30457856 = -1 · 214 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-965,11869] |
[a1,a2,a3,a4,a6] |
Generators |
[20:13:1] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
3.387437442249 |
L(r)(E,1)/r! |
Ω |
2.0446368057044 |
Real period |
R |
0.82837143320472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152y1 1144b1 82368bp1 100672bp1 |
Quadratic twists by: -4 8 -3 -11 |