Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152a |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-376870403047424 = -1 · 223 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17919,147551] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1177:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
5.1399067957524 |
L(r)(E,1)/r! |
Ω |
0.32641451548877 |
Real period |
R |
3.9366407986299 |
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 |
9152ba1 286d1 82368bn1 100672bh1 |
Quadratic twists by: -4 8 -3 -11 |