Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18228g |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.748356078534E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1196988,380085336] |
[a1,a2,a3,a4,a6] |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
1.1322654680749 |
L(r)(E,1)/r! |
Ω |
0.18871091134581 |
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 |
72912ce2 54684r2 2604c2 |
Quadratic twists by: -4 -3 -7 |