Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176p |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
106915657508352 = 29 · 318 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53931,-4794914] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:126:1] [-126:4:1] |
Generators of the group modulo torsion |
j |
46477380430664/286446699 |
j-invariant |
L |
6.8747281286591 |
L(r)(E,1)/r! |
Ω |
0.3134015671019 |
Real period |
R |
5.4839611941254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22176f3 44352v4 7392c3 |
Quadratic twists by: -4 8 -3 |