Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bt |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-50642579897016380 = -1 · 22 · 5 · 79 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39852,10375187] |
[a1,a2,a3,a4,a6] |
Generators |
[713867934296:-49005509720231:153990656] |
Generators of the group modulo torsion |
j |
35937/260 |
j-invariant |
L |
9.5780655205886 |
L(r)(E,1)/r! |
Ω |
0.25919949889483 |
Real period |
R |
18.476242348825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82810ci1 6370f1 |
Quadratic twists by: -7 13 |