Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928ek |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33944666112 = 215 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11052,-447120] |
[a1,a2,a3,a4,a6] |
j |
6249839688/1421 |
j-invariant |
L |
1.8625387742113 |
L(r)(E,1)/r! |
Ω |
0.46563461827914 |
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 |
116928dp2 58464bf2 12992bj2 |
Quadratic twists by: -4 8 -3 |