Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760bm |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-48409252628256000 = -1 · 28 · 311 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-454156,-118429000] |
[a1,a2,a3,a4,a6] |
Generators |
[2731:137904:1] |
Generators of the group modulo torsion |
j |
-40466893980348923344/189098643079125 |
j-invariant |
L |
8.135974473 |
L(r)(E,1)/r! |
Ω |
0.091927787644658 |
Real period |
R |
8.045815764214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940a1 |
Quadratic twists by: -4 |