Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271g |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
11271 = 3 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- -1 -3 2 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
83521/39 |
j-invariant |
L |
2.9359503359369 |
L(r)(E,1)/r! |
Ω |
3.1885518514705 |
Real period |
R |
0.92077860818946 |
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 |
33813m1 11271c1 |
Quadratic twists by: -3 17 |