Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768cm |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-6.2334414617681E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -5 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34502988,-78016175984] |
[a1,a2,a3,a4,a6] |
j |
-23769846831649063249/3261823333284 |
j-invariant |
L |
0.87208705121612 |
L(r)(E,1)/r! |
Ω |
0.031145966114863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768m2 6192o2 8256bp2 |
Quadratic twists by: -4 8 -3 |