Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096u |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3165497088 = 28 · 3 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390228,93956748] |
[a1,a2,a3,a4,a6] |
Generators |
[363890:95387:1000] |
Generators of the group modulo torsion |
j |
25670843788818706000/12365223 |
j-invariant |
L |
3.2562012732118 |
L(r)(E,1)/r! |
Ω |
0.86222183179245 |
Real period |
R |
7.5530476105959 |
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 |
4524e4 72384cw4 54288bv4 |
Quadratic twists by: -4 8 -3 |