Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bb |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
205660892408832 = 210 · 37 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32331,2128534] |
[a1,a2,a3,a4,a6] |
j |
5006723869732/275501667 |
j-invariant |
L |
2.220979810426 |
L(r)(E,1)/r! |
Ω |
0.55524495260651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296be4 6216i3 |
Quadratic twists by: -4 -3 |