Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768r |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-513589248 = -1 · 214 · 36 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 1 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,-864] |
[a1,a2,a3,a4,a6] |
j |
27648/43 |
j-invariant |
L |
1.7441623566504 |
L(r)(E,1)/r! |
Ω |
0.87208117832527 |
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 |
24768co1 3096d1 2752a1 |
Quadratic twists by: -4 8 -3 |