Atkin-Lehner |
2- 3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bb |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-33558 = -1 · 2 · 3 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -3 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-9] |
[a1,a2,a3,a4,a6] |
j |
-1/33558 |
j-invariant |
L |
1.6889687248573 |
L(r)(E,1)/r! |
Ω |
1.688968724857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100674x1 |
Quadratic twists by: -3 |