Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775bb |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
-413875 = -1 · 53 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
2 0 5- 7- 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5,31] |
[a1,a2,a3,a4,a6] |
Generators |
[50:121:8] |
Generators of the group modulo torsion |
j |
-110592/3311 |
j-invariant |
L |
13.493149898723 |
L(r)(E,1)/r! |
Ω |
2.4966173858697 |
Real period |
R |
2.7022862966698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775t1 |
Quadratic twists by: 5 |