Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600b |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-4400000000 = -1 · 210 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-3000] |
[a1,a2,a3,a4,a6] |
Generators |
[330:6000:1] |
Generators of the group modulo torsion |
j |
55296/275 |
j-invariant |
L |
4.8936932700832 |
L(r)(E,1)/r! |
Ω |
0.69456520403511 |
Real period |
R |
3.5228465532487 |
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 |
17600cc1 2200a1 3520i1 |
Quadratic twists by: -4 8 5 |