Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200cu |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4917248000 = -1 · 214 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:60:1] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
4.0102344196583 |
L(r)(E,1)/r! |
Ω |
1.1917264259018 |
Real period |
R |
1.6825314654845 |
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 |
11200bl2 2800x2 100800oi2 11200db2 |
Quadratic twists by: -4 8 -3 5 |