Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271a |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5617126094697 = 34 · 132 · 177 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9543,-344196] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6323:1] |
Generators of the group modulo torsion |
j |
3981876625/232713 |
j-invariant |
L |
2.6884206493185 |
L(r)(E,1)/r! |
Ω |
0.48479783380732 |
Real period |
R |
1.3863617274263 |
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 |
33813e1 663c1 |
Quadratic twists by: -3 17 |