Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896s |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-45793050624 = -1 · 215 · 39 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 1 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-8912] |
[a1,a2,a3,a4,a6] |
j |
830584/1917 |
j-invariant |
L |
2.3525899429747 |
L(r)(E,1)/r! |
Ω |
0.58814748573541 |
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 |
40896bf1 20448e1 13632l1 |
Quadratic twists by: -4 8 -3 |