Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bn |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.5547844133192E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178419,-1897334822] |
[a1,a2,a3,a4,a6] |
j |
-1682865958854536/4165553233558269 |
j-invariant |
L |
1.0912424261124 |
L(r)(E,1)/r! |
Ω |
0.068202650610797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688s2 28896h2 |
Quadratic twists by: -4 -3 |