Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896d |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-36758948352 = -1 · 29 · 3 · 7 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,9828] |
[a1,a2,a3,a4,a6] |
j |
-13044257864/71794821 |
j-invariant |
L |
2.000925391735 |
L(r)(E,1)/r! |
Ω |
1.0004626958671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28896t2 57792bf3 86688bp2 |
Quadratic twists by: -4 8 -3 |