Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775h |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
8607306640625 = 59 · 7 · 114 · 43 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20605,1134772] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1545:1] [734:443:8] |
Generators of the group modulo torsion |
j |
61915841915481/550867625 |
j-invariant |
L |
6.4727941563263 |
L(r)(E,1)/r! |
Ω |
0.73753835273563 |
Real period |
R |
8.7762136465075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16555g1 |
Quadratic twists by: 5 |