Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20944g |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-11718251776 = -1 · 28 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11- -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,5516] |
[a1,a2,a3,a4,a6] |
Generators |
[5:66:1] |
Generators of the group modulo torsion |
j |
-6940769488/45774421 |
j-invariant |
L |
5.5606151402105 |
L(r)(E,1)/r! |
Ω |
1.0954841220313 |
Real period |
R |
1.69198105458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236c2 83776t2 |
Quadratic twists by: -4 8 |