Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776t |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1050886144 = -1 · 214 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 11+ 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111,-1457] |
[a1,a2,a3,a4,a6] |
j |
9148592/64141 |
j-invariant |
L |
1.5492484774945 |
L(r)(E,1)/r! |
Ω |
0.77462425137051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776p1 20944g1 |
Quadratic twists by: -4 8 |