Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cb |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
271557328896 = 218 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89004,-10220240] |
[a1,a2,a3,a4,a6] |
Generators |
[45177288:3662655700:6859] |
Generators of the group modulo torsion |
j |
408023180713/1421 |
j-invariant |
L |
7.7472881393372 |
L(r)(E,1)/r! |
Ω |
0.2764058714642 |
Real period |
R |
14.014333570707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999640321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dk2 1827d2 12992u2 |
Quadratic twists by: -4 8 -3 |