Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
6816a |
Isogeny class |
Conductor |
6816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23228928 = 29 · 32 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,72] |
[a1,a2,a3,a4,a6] |
j |
81746504/45369 |
j-invariant |
L |
1.8521528756856 |
L(r)(E,1)/r! |
Ω |
1.8521528756856 |
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 |
6816c2 13632t2 20448j2 |
Quadratic twists by: -4 8 -3 |