Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768m |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
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 |
2.5065532894281 |
L(r)(E,1)/r! |
Ω |
0.15665958058925 |
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 |
24768cm2 774d2 8256c2 |
Quadratic twists by: -4 8 -3 |