Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280k |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.2622225168567E+19 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11- 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19723,-274800922] |
[a1,a2,a3,a4,a6] |
Generators |
[70466253014368577531353864256683890923454:1341532543492864578341890344932864009238582316:194420077394825621197376521201899] |
Generators of the group modulo torsion |
j |
-233860338/8991404125 |
j-invariant |
L |
12.678782086255 |
L(r)(E,1)/r! |
Ω |
0.094793875801721 |
Real period |
R |
66.87553377802 |
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 |
7480a1 |
Quadratic twists by: -11 |