Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544bb |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
27320832 |
Modular degree for the optimal curve |
Δ |
1.5058077940789E+26 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-563308152,5111801144788] |
[a1,a2,a3,a4,a6] |
Generators |
[887044142:39817415680:50653] |
Generators of the group modulo torsion |
j |
4826161753845865279803871993/36762885597628361228288 |
j-invariant |
L |
5.9590717751112 |
L(r)(E,1)/r! |
Ω |
0.058123933806328 |
Real period |
R |
7.3231103950681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318d1 |
Quadratic twists by: -4 |