Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160n |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
321511187200 = 28 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 5 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10836,-436936] |
[a1,a2,a3,a4,a6] |
Generators |
[3873:26740:27] |
Generators of the group modulo torsion |
j |
549706426371664/1255903075 |
j-invariant |
L |
6.2803656883519 |
L(r)(E,1)/r! |
Ω |
0.46799216839704 |
Real period |
R |
6.7099046869339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540d1 |
Quadratic twists by: -4 |