Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bi |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-31487774588928 = -1 · 215 · 38 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,274367] |
[a1,a2,a3,a4,a6] |
j |
-65645911304/960930621 |
j-invariant |
L |
4.4590949223722 |
L(r)(E,1)/r! |
Ω |
0.55738686096051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81984h3 40992c2 |
Quadratic twists by: -4 8 |