Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1584r |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
67744512 = 28 · 37 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-214] |
[a1,a2,a3,a4,a6] |
j |
810448/363 |
j-invariant |
L |
1.5336323541542 |
L(r)(E,1)/r! |
Ω |
1.5336323541542 |
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 |
396b2 6336ca2 528e2 39600dx2 |
Quadratic twists by: -4 8 -3 5 |