Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
504f |
Isogeny class |
Conductor |
504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82301184 = 28 · 38 · 72 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-110] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
1.8042640646924 |
L(r)(E,1)/r! |
Ω |
1.5693106533732 |
Real period |
R |
0.57485879574391 |
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 |
1008g2 4032f2 168a2 12600q2 |
Quadratic twists by: -4 8 -3 5 |