Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
22428d |
Isogeny class |
Conductor |
22428 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-197769745152 = -1 · 28 · 311 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1704,-34508] |
[a1,a2,a3,a4,a6] |
j |
-2932006912/1059723 |
j-invariant |
L |
2.919428227926 |
L(r)(E,1)/r! |
Ω |
0.36492852849076 |
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 |
89712bh1 7476a1 |
Quadratic twists by: -4 -3 |