Atkin-Lehner |
3- 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555m |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
171636835730625 = 37 · 54 · 374 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16065,469800] |
[a1,a2,a3,a4,a6] |
j |
629004249876241/235441475625 |
j-invariant |
L |
4.1792718156395 |
L(r)(E,1)/r! |
Ω |
0.52240894178143 |
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 |
37185i4 |
Quadratic twists by: -3 |