Atkin-Lehner |
2+ 3+ 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882i |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-17045346513321984 = -1 · 232 · 3 · 112 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,60836,2495440] |
[a1,a2,a3,a4,a6] |
j |
24899722750535932727/17045346513321984 |
j-invariant |
L |
1.9672027104416 |
L(r)(E,1)/r! |
Ω |
0.24590033880518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646bk1 |
Quadratic twists by: -3 |