Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775ba |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
64809025213625 = 53 · 77 · 114 · 43 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3688585,2727624592] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:-1074:1] |
Generators of the group modulo torsion |
j |
44401022981695515314997/518472201709 |
j-invariant |
L |
2.9760310487902 |
L(r)(E,1)/r! |
Ω |
0.436462137614 |
Real period |
R |
0.97407599809396 |
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 |
82775r1 |
Quadratic twists by: 5 |