Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bi |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28583132626944 = 215 · 32 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7649,-14529] |
[a1,a2,a3,a4,a6] |
j |
1510582804424/872287983 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
81984h4 40992c3 |
Quadratic twists by: -4 8 |