Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176c |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1609445376 = 212 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,3040] |
[a1,a2,a3,a4,a6] |
j |
3241792/539 |
j-invariant |
L |
2.8667187878211 |
L(r)(E,1)/r! |
Ω |
1.4333593939106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22176y2 44352bq1 2464k2 |
Quadratic twists by: -4 8 -3 |