Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176g |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16295634432 = 29 · 310 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,7670] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:126:1] |
Generators of the group modulo torsion |
j |
193100552/43659 |
j-invariant |
L |
3.9817909867394 |
L(r)(E,1)/r! |
Ω |
1.1661297018275 |
Real period |
R |
0.85363381545367 |
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 |
22176r2 44352ct2 7392m2 |
Quadratic twists by: -4 8 -3 |