Atkin-Lehner |
2+ 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386n |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-2607524922260224512 = -1 · 29 · 37 · 7 · 136 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5420636,-4858691686] |
[a1,a2,a3,a4,a6] |
j |
-17614662728794756493037625/2607524922260224512 |
j-invariant |
L |
2.077793774768 |
L(r)(E,1)/r! |
Ω |
0.049471280351619 |
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 |
67158cc2 |
Quadratic twists by: -3 |