Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6832f |
Isogeny class |
Conductor |
6832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
5356288 = 28 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
137842000/20923 |
j-invariant |
L |
3.0397326104828 |
L(r)(E,1)/r! |
Ω |
1.6774254909416 |
Real period |
R |
1.8121416580932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1708a1 27328o1 61488z1 47824i1 |
Quadratic twists by: -4 8 -3 -7 |