Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885g |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-279544643235 = -1 · 34 · 5 · 11 · 137 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1634,-1623] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1301:8] |
Generators of the group modulo torsion |
j |
99897344/57915 |
j-invariant |
L |
9.6699827858571 |
L(r)(E,1)/r! |
Ω |
0.5799310077858 |
Real period |
R |
4.1685918911189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655bh1 2145b1 |
Quadratic twists by: -3 13 |