Atkin-Lehner |
3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
663a |
Isogeny class |
Conductor |
663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1996623837 = 312 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3+ -4 2 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-327,-900] |
[a1,a2,a3,a4,a6] |
j |
3885442650361/1996623837 |
j-invariant |
L |
1.1861398733197 |
L(r)(E,1)/r! |
Ω |
1.1861398733197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10608x2 42432bi2 1989d2 16575j2 |
Quadratic twists by: -4 8 -3 5 |