Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768cm |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-294445301203206144 = -1 · 232 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -5 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,91572,23829136] |
[a1,a2,a3,a4,a6] |
j |
444369620591/1540767744 |
j-invariant |
L |
0.87208705121612 |
L(r)(E,1)/r! |
Ω |
0.21802176280404 |
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 |
24768m1 6192o1 8256bp1 |
Quadratic twists by: -4 8 -3 |