Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16695k |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
866644134521484375 = 37 · 516 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447210,-105927575] |
[a1,a2,a3,a4,a6] |
Generators |
[-19756:113765:64] |
Generators of the group modulo torsion |
j |
13568481555433126561/1188812255859375 |
j-invariant |
L |
5.0351855485406 |
L(r)(E,1)/r! |
Ω |
0.1856491832309 |
Real period |
R |
6.78051131294 |
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 |
5565c4 83475u3 116865bd3 |
Quadratic twists by: -3 5 -7 |