Atkin-Lehner |
2- 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170bx |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-3.3363460644154E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12941447,-17937655329] |
[a1,a2,a3,a4,a6] |
j |
-328809734589828985380649/457660639837500000 |
j-invariant |
L |
3.1836667377264 |
L(r)(E,1)/r! |
Ω |
0.039795834411818 |
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 |
27390b2 |
Quadratic twists by: -3 |