Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
71200r |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
55625000000 = 26 · 510 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1158,9688] |
[a1,a2,a3,a4,a6] |
Generators |
[68:500:1] |
Generators of the group modulo torsion |
j |
171879616/55625 |
j-invariant |
L |
4.930592085586 |
L(r)(E,1)/r! |
Ω |
1.0314273591426 |
Real period |
R |
2.3901790276904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71200p1 14240f1 |
Quadratic twists by: -4 5 |