Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248q |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6188325122304 = 28 · 39 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4671,27810] |
[a1,a2,a3,a4,a6] |
j |
2236773744/1228123 |
j-invariant |
L |
2.6237968840784 |
L(r)(E,1)/r! |
Ω |
0.65594922100659 |
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 |
80496d2 40248a2 |
Quadratic twists by: -4 -3 |