Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
22428b |
Isogeny class |
Conductor |
22428 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
17461812816 = 24 · 39 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,7425] |
[a1,a2,a3,a4,a6] |
j |
226492416/55447 |
j-invariant |
L |
3.4644294924394 |
L(r)(E,1)/r! |
Ω |
1.1548098308131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89712i1 22428a1 |
Quadratic twists by: -4 -3 |