Atkin-Lehner |
2- 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486o |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-332163694512 = -1 · 24 · 39 · 132 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1726,2161] |
[a1,a2,a3,a4,a6] |
j |
28906177509/16875664 |
j-invariant |
L |
4.6562502950724 |
L(r)(E,1)/r! |
Ω |
0.58203128688405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18486a2 |
Quadratic twists by: -3 |