Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018bk |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1474449340359131136 = 214 · 312 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-720554,-227878167] |
[a1,a2,a3,a4,a6] |
j |
56753835752958457177/2022564252893184 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
6006h2 126126fi2 |
Quadratic twists by: -3 -7 |