Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232t |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1093330160208 = 24 · 32 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-797567,-274422732] |
[a1,a2,a3,a4,a6] |
Generators |
[587269028:129001128840:12167] |
Generators of the group modulo torsion |
j |
726516846671872/14157 |
j-invariant |
L |
10.554661163776 |
L(r)(E,1)/r! |
Ω |
0.15975619777942 |
Real period |
R |
16.516825817039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44616b1 6864h1 |
Quadratic twists by: -4 13 |