Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627g |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
214301579955849 = 32 · 478 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103869,-12874176] |
[a1,a2,a3,a4,a6] |
Generators |
[213664601280:2892190912896:451217663] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
2.5568918107394 |
L(r)(E,1)/r! |
Ω |
0.2659641821763 |
Real period |
R |
19.227339484717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106032u2 19881k2 141c2 |
Quadratic twists by: -4 -3 -47 |