Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bj |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-242795978172 = -1 · 22 · 36 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340,-23669] |
[a1,a2,a3,a4,a6] |
Generators |
[2366:39511:8] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
11.401972143976 |
L(r)(E,1)/r! |
Ω |
0.47235432532315 |
Real period |
R |
6.0346500163331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11374a1 846b1 |
Quadratic twists by: -3 -11 |