Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gp |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.97911624235E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3030324,-677319280] |
[a1,a2,a3,a4,a6] |
j |
9090072503/5845851 |
j-invariant |
L |
2.7027281111887 |
L(r)(E,1)/r! |
Ω |
0.084460253040522 |
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 |
69696cw3 17424bw4 23232db3 6336cc4 |
Quadratic twists by: -4 8 -3 -11 |