Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218i |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.034303953857E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8091152,8721712910] |
[a1,a2,a3,a4,a6] |
j |
33067289963089830097/583837617703824 |
j-invariant |
L |
1.8708085552591 |
L(r)(E,1)/r! |
Ω |
0.15590071293835 |
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 |
93654bp4 2838e3 |
Quadratic twists by: -3 -11 |