Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1885b |
Isogeny class |
Conductor |
1885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1867663890625 = -1 · 56 · 132 · 294 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28466,1837888] |
[a1,a2,a3,a4,a6] |
Generators |
[86:144:1] |
Generators of the group modulo torsion |
j |
-2550962067330021409/1867663890625 |
j-invariant |
L |
2.504198624561 |
L(r)(E,1)/r! |
Ω |
0.8264081814817 |
Real period |
R |
1.5151100150479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160q2 120640bq2 16965o2 9425e2 |
Quadratic twists by: -4 8 -3 5 |