Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720i |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5510648282878771200 = -1 · 216 · 35 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,361535,-75984575] |
[a1,a2,a3,a4,a6] |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
1.0439849765106 |
L(r)(E,1)/r! |
Ω |
0.13049812206382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720cl4 840d4 20160y4 33600cs3 |
Quadratic twists by: -4 8 -3 5 |