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 |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1312358400 = 216 · 32 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,-14721] |
[a1,a2,a3,a4,a6] |
j |
2379293284/20025 |
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 |
85440z1 10680d1 |
Quadratic twists by: -4 8 |