Atkin-Lehner |
3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16779j |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
329246716113 = 34 · 72 · 17 · 474 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2142,26163] |
[a1,a2,a3,a4,a6] |
j |
1086913000972513/329246716113 |
j-invariant |
L |
1.7864182116754 |
L(r)(E,1)/r! |
Ω |
0.8932091058377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50337f1 117453d1 |
Quadratic twists by: -3 -7 |