Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664bc |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
77268280586534912 = 218 · 77 · 713 |
Discriminant |
Eigenvalues |
2- -2 0 7- 6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40923248,-100777144364] |
[a1,a2,a3,a4,a6] |
j |
15728446204516662625/160344128 |
j-invariant |
L |
1.4325779816532 |
L(r)(E,1)/r! |
Ω |
0.05969074923642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958n3 7952e3 |
Quadratic twists by: -4 -7 |