Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cr |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
-9.822537252864E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6494255,7958680247] |
[a1,a2,a3,a4,a6] |
Generators |
[-1661:119830:1] |
Generators of the group modulo torsion |
j |
-71800566610391670267/23283051266048000 |
j-invariant |
L |
10.306310280976 |
L(r)(E,1)/r! |
Ω |
0.12196415981939 |
Real period |
R |
0.18862227158507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550g1 10710a1 |
Quadratic twists by: -3 5 |