Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664bp |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-1.47143140182E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1912620,2107752887] |
[a1,a2,a3,a4,a6] |
j |
-66337985583376384000/126151526219132547 |
j-invariant |
L |
2.1577814747107 |
L(r)(E,1)/r! |
Ω |
0.13486133966046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20916h1 27888n1 |
Quadratic twists by: -4 -3 |