Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bb |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-477677498489856 = -1 · 210 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14109,-830450] |
[a1,a2,a3,a4,a6] |
j |
416087747708/639892911 |
j-invariant |
L |
2.220979810426 |
L(r)(E,1)/r! |
Ω |
0.27762247630326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296be3 6216i4 |
Quadratic twists by: -4 -3 |