Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560bu |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1693612800 = -1 · 28 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,1892] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] [16:90:1] |
Generators of the group modulo torsion |
j |
11264/75 |
j-invariant |
L |
8.577487436466 |
L(r)(E,1)/r! |
Ω |
1.0851321328748 |
Real period |
R |
0.49403473414704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120y1 14520j1 43560l1 |
Quadratic twists by: -4 -3 -11 |