Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992p |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1707726384 = -1 · 24 · 32 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,153,-1800] |
[a1,a2,a3,a4,a6] |
Generators |
[612:1605:64] |
Generators of the group modulo torsion |
j |
24594409472/106732899 |
j-invariant |
L |
7.9028804206244 |
L(r)(E,1)/r! |
Ω |
0.7549228512692 |
Real period |
R |
5.2342304944758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496t1 |
Quadratic twists by: -4 |