Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dx |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7715736000000000000 = -1 · 215 · 39 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,320532,113937392] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:49023:1] |
Generators of the group modulo torsion |
j |
152461584507448/322998046875 |
j-invariant |
L |
4.1034821129008 |
L(r)(E,1)/r! |
Ω |
0.16229502431788 |
Real period |
R |
6.321022671748 |
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 |
20160ef4 10080bw4 6720bp4 100800nw3 |
Quadratic twists by: -4 8 -3 5 |