Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11220f |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-75086708400 = -1 · 24 · 310 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,655,-11718] |
[a1,a2,a3,a4,a6] |
Generators |
[19:85:1] |
Generators of the group modulo torsion |
j |
1939386712064/4692919275 |
j-invariant |
L |
3.3042853588238 |
L(r)(E,1)/r! |
Ω |
0.56322481805508 |
Real period |
R |
0.97778757046316 |
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 |
44880cx1 33660e1 56100v1 123420u1 |
Quadratic twists by: -4 -3 5 -11 |