Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280n |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
397056 |
Modular degree for the optimal curve |
Δ |
-3489008039418880 = -1 · 210 · 5 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58120,6115452] |
[a1,a2,a3,a4,a6] |
Generators |
[1409257731:46813508742:1225043] |
Generators of the group modulo torsion |
j |
-8992364/1445 |
j-invariant |
L |
11.01250106411 |
L(r)(E,1)/r! |
Ω |
0.42905776248647 |
Real period |
R |
12.833354886709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82280e1 |
Quadratic twists by: -11 |