Atkin-Lehner |
3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
663c |
Isogeny class |
Conductor |
663 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24649677 = 38 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98,279] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:28:1] |
Generators of the group modulo torsion |
j |
104154702625/24649677 |
j-invariant |
L |
1.6326154359075 |
L(r)(E,1)/r! |
Ω |
1.9988726758582 |
Real period |
R |
0.20419202478799 |
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 |
10608o2 42432l2 1989a2 16575b2 |
Quadratic twists by: -4 8 -3 5 |