Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152h |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
74566656 = 210 · 34 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 2 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-704,6948] |
[a1,a2,a3,a4,a6] |
Generators |
[16:6:1] |
Generators of the group modulo torsion |
j |
37736227588/72819 |
j-invariant |
L |
8.4881714065605 |
L(r)(E,1)/r! |
Ω |
1.9407651989472 |
Real period |
R |
0.54670262347875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576j1 129456g1 |
Quadratic twists by: -4 -3 |