Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bh |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7827456 |
Modular degree for the optimal curve |
Δ |
-1.9782257772272E+21 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36353762,84378900754] |
[a1,a2,a3,a4,a6] |
Generators |
[9183:719996:1] |
Generators of the group modulo torsion |
j |
-27279055902727/10156250 |
j-invariant |
L |
4.1038457329766 |
L(r)(E,1)/r! |
Ω |
0.14485929466681 |
Real period |
R |
0.44265429987004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810g1 6370o1 |
Quadratic twists by: -7 13 |