Atkin-Lehner |
2+ 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41064f |
Isogeny class |
Conductor |
41064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-28652795615232 = -1 · 211 · 34 · 292 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 1 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4232,236144] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:174:1] |
Generators of the group modulo torsion |
j |
4091929204750/13990622859 |
j-invariant |
L |
7.7150072171923 |
L(r)(E,1)/r! |
Ω |
0.4705067810085 |
Real period |
R |
2.0496535673351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128e1 123192i1 |
Quadratic twists by: -4 -3 |