Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768bl |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-221870555136 = -1 · 218 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,25488] |
[a1,a2,a3,a4,a6] |
j |
-19683/43 |
j-invariant |
L |
3.5362886282288 |
L(r)(E,1)/r! |
Ω |
0.88407215705718 |
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 |
24768e1 6192l1 24768bm1 |
Quadratic twists by: -4 8 -3 |