Atkin-Lehner |
2- 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942m |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1647169992 = 23 · 34 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3829,-91495] |
[a1,a2,a3,a4,a6] |
j |
6208503067778257/1647169992 |
j-invariant |
L |
3.6415458900816 |
L(r)(E,1)/r! |
Ω |
0.6069243150136 |
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 |
55536w4 20826i4 90246h4 |
Quadratic twists by: -4 -3 13 |