Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bl |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3292047360000 = 214 · 38 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8508,289168] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:756:1] |
Generators of the group modulo torsion |
j |
5702413264/275625 |
j-invariant |
L |
4.9535674240449 |
L(r)(E,1)/r! |
Ω |
0.78561237539649 |
Real period |
R |
1.5763395470778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160do2 2520t2 6720bc2 100800cz2 |
Quadratic twists by: -4 8 -3 5 |