Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440en |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
168696028892160000 = 213 · 38 · 54 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4750707,3985475506] |
[a1,a2,a3,a4,a6] |
Generators |
[1217:-2520:1] |
Generators of the group modulo torsion |
j |
3971101377248209009/56495958750 |
j-invariant |
L |
6.8111580496269 |
L(r)(E,1)/r! |
Ω |
0.29406524094106 |
Real period |
R |
0.48254300841546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930m3 18480ct3 |
Quadratic twists by: -4 -3 |