Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
6816b |
Isogeny class |
Conductor |
6816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
45157036032 = 212 · 37 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11569,-475007] |
[a1,a2,a3,a4,a6] |
j |
41810827822912/11024667 |
j-invariant |
L |
0.46034066758166 |
L(r)(E,1)/r! |
Ω |
0.46034066758166 |
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 |
6816f2 13632j1 20448i2 |
Quadratic twists by: -4 8 -3 |