Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568x |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3997912552704 = 28 · 32 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79004,8520336] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:4116:1] |
Generators of the group modulo torsion |
j |
5279029936/387 |
j-invariant |
L |
6.8912740849338 |
L(r)(E,1)/r! |
Ω |
0.74457344995477 |
Real period |
R |
2.3138328681219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136a2 50568o2 |
Quadratic twists by: -4 -7 |