Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952k |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
287232 = 29 · 3 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5984,180180] |
[a1,a2,a3,a4,a6] |
Generators |
[61:196:1] |
Generators of the group modulo torsion |
j |
46291481457416/561 |
j-invariant |
L |
3.5606741706251 |
L(r)(E,1)/r! |
Ω |
2.1715326856547 |
Real period |
R |
3.2794110760083 |
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 |
17952t2 35904dc4 53856m4 |
Quadratic twists by: -4 8 -3 |