Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096u |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
967524210432 = 28 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4908,125244] |
[a1,a2,a3,a4,a6] |
Generators |
[101:806:1] |
Generators of the group modulo torsion |
j |
51084117250000/3779391447 |
j-invariant |
L |
3.2562012732118 |
L(r)(E,1)/r! |
Ω |
0.86222183179245 |
Real period |
R |
2.5176825368653 |
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 |
4524e2 72384cw2 54288bv2 |
Quadratic twists by: -4 8 -3 |