Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128bc |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
2.960188867708E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 1 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1296128,503610804] |
[a1,a2,a3,a4,a6] |
Generators |
[220:15138:1] |
Generators of the group modulo torsion |
j |
58790584409273466625/7227023602802688 |
j-invariant |
L |
8.5682488332239 |
L(r)(E,1)/r! |
Ω |
0.20213647762338 |
Real period |
R |
0.70647390760959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266e1 |
Quadratic twists by: -4 |