Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560bm |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1243217238693120 = -1 · 28 · 38 · 5 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109263,-14004502] |
[a1,a2,a3,a4,a6] |
Generators |
[5610244565848:43466969720097:13686220288] |
Generators of the group modulo torsion |
j |
-772993034343376/6661615005 |
j-invariant |
L |
5.3306477457473 |
L(r)(E,1)/r! |
Ω |
0.13122842916766 |
Real period |
R |
20.31056753311 |
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 |
4140e4 66240fq4 5520v4 82800es4 |
Quadratic twists by: -4 8 -3 5 |