Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775ba |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-1.8967271233179E+19 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3685560,2732319392] |
[a1,a2,a3,a4,a6] |
Generators |
[784:17615:1] |
Generators of the group modulo torsion |
j |
-44291873007273780342117/151738169865433921 |
j-invariant |
L |
2.9760310487902 |
L(r)(E,1)/r! |
Ω |
0.218231068807 |
Real period |
R |
0.48703799904698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775r2 |
Quadratic twists by: 5 |