Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cb |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6096384 |
Modular degree for the optimal curve |
Δ |
-1.1982034403634E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3051721,-2644014521] |
[a1,a2,a3,a4,a6] |
Generators |
[657047348:2953845505:314432] |
Generators of the group modulo torsion |
j |
-2305248169/878800 |
j-invariant |
L |
14.073368356949 |
L(r)(E,1)/r! |
Ω |
0.05605095957391 |
Real period |
R |
15.692604169993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810ch1 6370i1 |
Quadratic twists by: -7 13 |