Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6909j |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-87106045108383 = -1 · 38 · 710 · 47 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8231,345680] |
[a1,a2,a3,a4,a6] |
Generators |
[11:656:1] |
Generators of the group modulo torsion |
j |
524191506047/740389167 |
j-invariant |
L |
2.6061163608756 |
L(r)(E,1)/r! |
Ω |
0.40942189072299 |
Real period |
R |
0.79566958311434 |
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 |
110544cp3 20727p4 987b4 |
Quadratic twists by: -4 -3 -7 |