Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673g |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3763200 |
Modular degree for the optimal curve |
Δ |
-2.5522045155623E+20 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,382077,-763328696] |
[a1,a2,a3,a4,a6] |
j |
14225260967/588572487 |
j-invariant |
L |
0.1680161088606 |
L(r)(E,1)/r! |
Ω |
0.08400791368112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42891f1 4437j1 |
Quadratic twists by: -3 29 |