Atkin-Lehner |
2- 3- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182q |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4281464911142836032 = 26 · 3 · 716 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-807204,260717520] |
[a1,a2,a3,a4,a6] |
j |
58166597712104237192257/4281464911142836032 |
j-invariant |
L |
2.890851582889 |
L(r)(E,1)/r! |
Ω |
0.24090429857412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546s3 |
Quadratic twists by: -3 |