Atkin-Lehner |
2- 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86768i |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
44425216 = 213 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 11+ -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,-734] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2:1] [-7:8:1] |
Generators of the group modulo torsion |
j |
116930169/10846 |
j-invariant |
L |
4.8437064109047 |
L(r)(E,1)/r! |
Ω |
1.344081449724 |
Real period |
R |
0.90093245697639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846a1 |
Quadratic twists by: -4 |