Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bp |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5563855650816 = -1 · 214 · 314 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3036,130480] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:432:1] |
Generators of the group modulo torsion |
j |
-259108432/465831 |
j-invariant |
L |
5.4050809314938 |
L(r)(E,1)/r! |
Ω |
0.68001432025687 |
Real period |
R |
1.98712026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896x1 10224a1 13632r1 |
Quadratic twists by: -4 8 -3 |