Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744g |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37901636190208 = 214 · 77 · 532 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17568988,28344462960] |
[a1,a2,a3,a4,a6] |
j |
36605303452610058192336/2313332287 |
j-invariant |
L |
3.2102754299866 |
L(r)(E,1)/r! |
Ω |
0.35669726999851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744bk2 1484b2 |
Quadratic twists by: -4 8 |