Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cn |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
52663882752 = 210 · 34 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3133,65555] |
[a1,a2,a3,a4,a6] |
Generators |
[47:156:1] |
Generators of the group modulo torsion |
j |
3322336000000/51429573 |
j-invariant |
L |
6.451161710864 |
L(r)(E,1)/r! |
Ω |
1.1247361666622 |
Real period |
R |
0.47797592464238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432k1 10608b1 127296ct1 |
Quadratic twists by: -4 8 -3 |