Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018bk |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2.106283672623E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1809194,624744681] |
[a1,a2,a3,a4,a6] |
j |
898362003697422318937/288927801457206912 |
j-invariant |
L |
4.5982366481778 |
L(r)(E,1)/r! |
Ω |
0.16422273743492 |
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 |
6006h3 126126fi3 |
Quadratic twists by: -3 -7 |