Atkin-Lehner |
2- 3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558z |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
906066 = 2 · 34 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4832352,4086693231] |
[a1,a2,a3,a4,a6] |
j |
12479563728489548786038273/906066 |
j-invariant |
L |
5.7135477518794 |
L(r)(E,1)/r! |
Ω |
0.71419346898623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674t4 |
Quadratic twists by: -3 |