Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cd |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24787589110824960 = -1 · 217 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40308,6904816] |
[a1,a2,a3,a4,a6] |
Generators |
[101:3465:1] |
Generators of the group modulo torsion |
j |
75798394558/259416045 |
j-invariant |
L |
5.0828926382526 |
L(r)(E,1)/r! |
Ω |
0.26781085664006 |
Real period |
R |
4.7448530485491 |
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 |
20160fg6 2520e6 6720q6 100800fq5 |
Quadratic twists by: -4 8 -3 5 |