Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bm |
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 |
[16:36:1] |
Generators of the group modulo torsion |
j |
-8/123 |
j-invariant |
L |
6.1856609383807 |
L(r)(E,1)/r! |
Ω |
0.65035872780383 |
Real period |
R |
1.1888940429978 |
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 |
23616bn1 11808e1 7872w1 |
Quadratic twists by: -4 8 -3 |