Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
22428c |
Isogeny class |
Conductor |
22428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-39879495936 = -1 · 28 · 36 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 4 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,9774] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:98:1] |
Generators of the group modulo torsion |
j |
-12869712/213689 |
j-invariant |
L |
4.5266987040647 |
L(r)(E,1)/r! |
Ω |
0.96947861602137 |
Real period |
R |
0.77820157303412 |
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 |
89712be1 2492b1 |
Quadratic twists by: -4 -3 |