Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544ba |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-318217226027008 = -1 · 219 · 77 · 11 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9688,-936684] |
[a1,a2,a3,a4,a6] |
Generators |
[140:686:1] |
Generators of the group modulo torsion |
j |
-24553362849625/77689752448 |
j-invariant |
L |
4.132578841529 |
L(r)(E,1)/r! |
Ω |
0.22189569600587 |
Real period |
R |
1.3302835904873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318c1 |
Quadratic twists by: -4 |