Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440k |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.05376E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985456,-987113900] |
[a1,a2,a3,a4,a6] |
Generators |
[-974:4864:1] |
Generators of the group modulo torsion |
j |
211322034896126991409/19662500000000000 |
j-invariant |
L |
1.84986789269 |
L(r)(E,1)/r! |
Ω |
0.12794283087951 |
Real period |
R |
3.6146376470913 |
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 |
1430f2 45760bv2 102960ex2 57200be2 |
Quadratic twists by: -4 8 -3 5 |