Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bn |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2938208256 = -1 · 215 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,2608] |
[a1,a2,a3,a4,a6] |
Generators |
[14:72:1] |
Generators of the group modulo torsion |
j |
-8/123 |
j-invariant |
L |
5.6356230056147 |
L(r)(E,1)/r! |
Ω |
1.1411760102747 |
Real period |
R |
0.61730431533718 |
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 |
23616bm1 11808f1 7872bg1 |
Quadratic twists by: -4 8 -3 |