Atkin-Lehner |
5- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775w |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
55614453125 = 58 · 7 · 11 · 432 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5208,142494] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:537:1] [-36:533:1] |
Generators of the group modulo torsion |
j |
40000000000/142373 |
j-invariant |
L |
4.1103192780234 |
L(r)(E,1)/r! |
Ω |
1.1221457206307 |
Real period |
R |
0.61048507372113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775k1 |
Quadratic twists by: 5 |