Atkin-Lehner |
5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725y |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3412542414875 = -1 · 53 · 113 · 295 |
Discriminant |
Eigenvalues |
0 -1 5- 0 11+ 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1247,86833] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:159:1] |
Generators of the group modulo torsion |
j |
1287913472/20511149 |
j-invariant |
L |
4.1793921145876 |
L(r)(E,1)/r! |
Ω |
0.58933305239288 |
Real period |
R |
0.35458660392479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725x1 87725w1 |
Quadratic twists by: 5 -11 |