Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ca |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
185177664000000 = 212 · 310 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189012,31621984] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2025:1] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
5.7554017983958 |
L(r)(E,1)/r! |
Ω |
0.55427681066448 |
Real period |
R |
0.86530197061285 |
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 |
20160co2 10080bn1 6720r2 100800fk2 |
Quadratic twists by: -4 8 -3 5 |