Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440z |
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] |
Generators |
[23:-24:1] [-11:160:1] |
Generators of the group modulo torsion |
j |
2379293284/20025 |
j-invariant |
L |
8.6849883710224 |
L(r)(E,1)/r! |
Ω |
1.5343114467936 |
Real period |
R |
1.4151280024315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440n1 21360d1 |
Quadratic twists by: -4 8 |