Atkin-Lehner |
2- 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128y |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1314048 = 28 · 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 3 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,447] |
[a1,a2,a3,a4,a6] |
Generators |
[2:15:1] |
Generators of the group modulo torsion |
j |
697827328/5133 |
j-invariant |
L |
11.162697338732 |
L(r)(E,1)/r! |
Ω |
2.7288122593237 |
Real period |
R |
2.0453399274184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532a1 |
Quadratic twists by: -4 |