Atkin-Lehner |
3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
663b |
Isogeny class |
Conductor |
663 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
668584449 = 34 · 134 · 172 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-544,4496] |
[a1,a2,a3,a4,a6] |
Generators |
[79:640:1] |
Generators of the group modulo torsion |
j |
17806161424897/668584449 |
j-invariant |
L |
1.1920969617698 |
L(r)(E,1)/r! |
Ω |
1.6023820500531 |
Real period |
R |
2.9758120711108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
10608ba2 42432s2 1989e2 16575f2 |
Quadratic twists by: -4 8 -3 5 |