Atkin-Lehner |
2- 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570z |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-366622015246240000 = -1 · 28 · 54 · 138 · 532 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,170095,11006575] |
[a1,a2,a3,a4,a6] |
Generators |
[83:5028:1] |
Generators of the group modulo torsion |
j |
112755589904231/75955360000 |
j-invariant |
L |
16.730859784674 |
L(r)(E,1)/r! |
Ω |
0.18990589818271 |
Real period |
R |
1.3765748537557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890a2 |
Quadratic twists by: 13 |