Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632q |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2837807393931264 = -1 · 219 · 3 · 715 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14721,2648703] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1632:1] |
Generators of the group modulo torsion |
j |
-1345938541921/10825376106 |
j-invariant |
L |
4.8649925837954 |
L(r)(E,1)/r! |
Ω |
0.388030520817 |
Real period |
R |
3.1344136110429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13632g2 3408e2 40896bv2 |
Quadratic twists by: -4 8 -3 |