Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ce |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.5263678995782E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68716812,224224012784] |
[a1,a2,a3,a4,a6] |
Generators |
[-947:537075:1] |
Generators of the group modulo torsion |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
5.0379311388349 |
L(r)(E,1)/r! |
Ω |
0.08795768090641 |
Real period |
R |
7.159595226532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ff8 630c8 6720c8 100800fr7 |
Quadratic twists by: -4 8 -3 5 |