Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136y |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3369021597332E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13064259,4567696450] |
[a1,a2,a3,a4,a6] |
Generators |
[-66024369147:10697010087190:91733851] |
Generators of the group modulo torsion |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
5.7811674097291 |
L(r)(E,1)/r! |
Ω |
0.090581903853921 |
Real period |
R |
15.955635628537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2142g2 68544dq2 5712t2 119952gs2 |
Quadratic twists by: -4 8 -3 -7 |