Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467y |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
40079623302873 = 37 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12357,-429080] |
[a1,a2,a3,a4,a6] |
j |
2433138625/467313 |
j-invariant |
L |
1.8354213939307 |
L(r)(E,1)/r! |
Ω |
0.45885535088812 |
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 |
27489g1 11781j1 |
Quadratic twists by: -3 -7 |