Atkin-Lehner |
2+ 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486a |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-455642928 = -1 · 24 · 33 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,192,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[4:24:1] |
Generators of the group modulo torsion |
j |
28906177509/16875664 |
j-invariant |
L |
3.0524090730572 |
L(r)(E,1)/r! |
Ω |
0.98349663611266 |
Real period |
R |
0.77590734959757 |
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 |
18486o2 |
Quadratic twists by: -3 |