Atkin-Lehner |
2- 3- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170cc |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4152576501562500 = -1 · 22 · 37 · 58 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33628,-2003029] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1167:1] |
Generators of the group modulo torsion |
j |
5769144375180551/5696264062500 |
j-invariant |
L |
10.257575810298 |
L(r)(E,1)/r! |
Ω |
0.23882818813462 |
Real period |
R |
2.6843501716573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005114 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27390f3 |
Quadratic twists by: -3 |