Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032t |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-11141568 = -1 · 26 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[80:720:1] |
Generators of the group modulo torsion |
j |
8000/174087 |
j-invariant |
L |
7.4004726457015 |
L(r)(E,1)/r! |
Ω |
1.0477249236341 |
Real period |
R |
3.5316868382692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032j1 128064bt2 |
Quadratic twists by: -4 8 |