Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544a |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1469440 |
Modular degree for the optimal curve |
Δ |
3.4441783244873E+19 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 11+ -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1226596,-440494484] |
[a1,a2,a3,a4,a6] |
Generators |
[-20706:190412:27] |
Generators of the group modulo torsion |
j |
797239362436839137104/134538215800286221 |
j-invariant |
L |
4.8338840489713 |
L(r)(E,1)/r! |
Ω |
0.14510584822678 |
Real period |
R |
8.3282033491644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41272e1 |
Quadratic twists by: -4 |