Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627g |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1519869361389 = 3 · 477 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1661214,-824250921] |
[a1,a2,a3,a4,a6] |
Generators |
[141951318199646283675022:-7854705793801184251183511:40084344843746417864] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
2.5568918107394 |
L(r)(E,1)/r! |
Ω |
0.13298209108815 |
Real period |
R |
38.454678969434 |
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 |
106032u4 19881k4 141c4 |
Quadratic twists by: -4 -3 -47 |