Atkin-Lehner |
2- 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624q |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-3638832 = -1 · 24 · 3 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[270296260:-1142151951:17576000] |
Generators of the group modulo torsion |
j |
131072000/227427 |
j-invariant |
L |
9.203579652747 |
L(r)(E,1)/r! |
Ω |
1.309556033747 |
Real period |
R |
14.056030321208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21156b1 |
Quadratic twists by: -4 |