Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560bc |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
4.57056E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17256147,27588855186] |
[a1,a2,a3,a4,a6] |
Generators |
[-743:200000:1] |
Generators of the group modulo torsion |
j |
5138442430700033888523/413281250000000 |
j-invariant |
L |
5.5255912487743 |
L(r)(E,1)/r! |
Ω |
0.1925869995059 |
Real period |
R |
0.51234648523883 |
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 |
2070c2 66240dk2 16560ba2 82800cp2 |
Quadratic twists by: -4 8 -3 5 |