Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440n |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
420479631360 = 217 · 34 · 5 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1921,8159] |
[a1,a2,a3,a4,a6] |
j |
5984418242/3208005 |
j-invariant |
L |
3.3017663862583 |
L(r)(E,1)/r! |
Ω |
0.82544161503816 |
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 |
85440z2 10680d2 |
Quadratic twists by: -4 8 |