Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1062i |
Isogeny class |
Conductor |
1062 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-22550151168 = -1 · 219 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -1 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,499,5685] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:72:1] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
3.0948383986843 |
L(r)(E,1)/r! |
Ω |
0.82257874708085 |
Real period |
R |
0.099009506437984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8496w1 33984y1 118d1 26550l1 |
Quadratic twists by: -4 8 -3 5 |