Atkin-Lehner |
2- 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170bw |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-1.5793583458108E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,484753,-590643529] |
[a1,a2,a3,a4,a6] |
j |
17280588963391998551/216647235365000000 |
j-invariant |
L |
3.7547382378912 |
L(r)(E,1)/r! |
Ω |
0.089398529431377 |
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 |
9130b1 |
Quadratic twists by: -3 |