Atkin-Lehner |
3+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84975a |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20769914794921875 = -1 · 36 · 512 · 11 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-179588,30027656] |
[a1,a2,a3,a4,a6] |
Generators |
[204:-1493:1] |
Generators of the group modulo torsion |
j |
-40995461425867129/1329274546875 |
j-invariant |
L |
2.3147428157992 |
L(r)(E,1)/r! |
Ω |
0.38167297646122 |
Real period |
R |
1.5161820198191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16995e2 |
Quadratic twists by: 5 |