Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128n |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-3295176739264659456 = -1 · 227 · 315 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -2 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,178320,-82446912] |
[a1,a2,a3,a4,a6] |
Generators |
[72826284268942:3679105630876794:29189662039] |
Generators of the group modulo torsion |
j |
153095172022936079/804486508609536 |
j-invariant |
L |
5.8860785351335 |
L(r)(E,1)/r! |
Ω |
0.12630603489697 |
Real period |
R |
23.300860247631 |
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 |
10266h1 |
Quadratic twists by: -4 |