Atkin-Lehner |
2- 3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170bu |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-100612240058880 = -1 · 29 · 316 · 5 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 7 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27878,-1848459] |
[a1,a2,a3,a4,a6] |
Generators |
[281:3387:1] |
Generators of the group modulo torsion |
j |
-3286748097705241/138014046720 |
j-invariant |
L |
10.931885769321 |
L(r)(E,1)/r! |
Ω |
0.18428464808811 |
Real period |
R |
3.2955918639569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27390c1 |
Quadratic twists by: -3 |