Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768k |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-949626519552 = -1 · 214 · 36 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,-12256] |
[a1,a2,a3,a4,a6] |
j |
128000000/79507 |
j-invariant |
L |
1.0174732554354 |
L(r)(E,1)/r! |
Ω |
0.50873662771775 |
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 |
24768cl2 1548c2 2752b2 |
Quadratic twists by: -4 8 -3 |