Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271a |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
594983279415213 = 38 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28328,1399052] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2770:1] |
Generators of the group modulo torsion |
j |
104154702625/24649677 |
j-invariant |
L |
2.6884206493185 |
L(r)(E,1)/r! |
Ω |
0.48479783380732 |
Real period |
R |
2.7727234548526 |
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 |
33813e2 663c2 |
Quadratic twists by: -3 17 |