Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218d |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
291544596 = 22 · 39 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -4 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10901,-442647] |
[a1,a2,a3,a4,a6] |
j |
270850291507273/551124 |
j-invariant |
L |
0.93445379278718 |
L(r)(E,1)/r! |
Ω |
0.46722689639359 |
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 |
66654bt1 22218j1 |
Quadratic twists by: -3 -23 |