Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048be |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3441573494784 = -1 · 218 · 39 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13251,593858] |
[a1,a2,a3,a4,a6] |
j |
-86175179713/1152576 |
j-invariant |
L |
6.3585659976798 |
L(r)(E,1)/r! |
Ω |
0.79482078789636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12006k1 32016s1 |
Quadratic twists by: -4 -3 |