Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680k |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51426109440000 = 214 · 36 · 54 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12785,440817] |
[a1,a2,a3,a4,a6] |
Generators |
[129:960:1] |
Generators of the group modulo torsion |
j |
14107171255504/3138800625 |
j-invariant |
L |
5.7306292770077 |
L(r)(E,1)/r! |
Ω |
0.59633629382957 |
Real period |
R |
2.4024318731923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987045 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79680bw2 9960c2 |
Quadratic twists by: -4 8 |