Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271f |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36713242449 = 32 · 132 · 176 |
Discriminant |
Eigenvalues |
1 3- -2 4 -4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1307,-15775] |
[a1,a2,a3,a4,a6] |
Generators |
[59841:448739:729] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
6.2085780777519 |
L(r)(E,1)/r! |
Ω |
0.80200501829205 |
Real period |
R |
7.7413207350918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33813o2 39a1 |
Quadratic twists by: -3 17 |