Atkin-Lehner |
2+ 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536i |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-2591087616 = -1 · 210 · 37 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-872,9924] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-108:1] [16:-18:1] |
Generators of the group modulo torsion |
j |
-71692076452/2530359 |
j-invariant |
L |
9.421500541121 |
L(r)(E,1)/r! |
Ω |
1.4339538126014 |
Real period |
R |
0.23465341716455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768h1 |
Quadratic twists by: -4 |