Atkin-Lehner |
5- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775t |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58560 |
Modular degree for the optimal curve |
Δ |
-6466796875 = -1 · 59 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:62:1] |
Generators of the group modulo torsion |
j |
-110592/3311 |
j-invariant |
L |
1.7931160137241 |
L(r)(E,1)/r! |
Ω |
1.1165212377225 |
Real period |
R |
0.80299234589831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775bb1 |
Quadratic twists by: 5 |