Atkin-Lehner |
2- 3- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170ca |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
1564 |
Product of Tamagawa factors cp |
deg |
63060480 |
Modular degree for the optimal curve |
Δ |
9.3159481536E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3636942467,-84292714342141] |
[a1,a2,a3,a4,a6] |
Generators |
[-34233:320866:1] |
Generators of the group modulo torsion |
j |
7298027182764707133024571368169/12779078400000000000000000 |
j-invariant |
L |
12.662666321535 |
L(r)(E,1)/r! |
Ω |
0.019442903712411 |
Real period |
R |
0.41641588557341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27390d1 |
Quadratic twists by: -3 |