Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bd |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
125790310800 = 24 · 35 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68283,6862006] |
[a1,a2,a3,a4,a6] |
Generators |
[155:12:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
4.7082306636959 |
L(r)(E,1)/r! |
Ω |
0.91424118528267 |
Real period |
R |
0.51498781060057 |
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 |
129360ex1 48510cv1 80850ei1 330a1 |
Quadratic twists by: -4 -3 5 -7 |