Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885p |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
-5.9791978456936E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11+ 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,752839,274468016] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:177953:8] |
Generators of the group modulo torsion |
j |
4449787707392/5638359375 |
j-invariant |
L |
5.1771780406314 |
L(r)(E,1)/r! |
Ω |
0.13259136371817 |
Real period |
R |
2.4403823783518 |
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 |
83655bi1 27885w1 |
Quadratic twists by: -3 13 |