Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ey |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.106469990114E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63825505,-253221862655] |
[a1,a2,a3,a4,a6] |
j |
-932348627918877961/358766164249920 |
j-invariant |
L |
1.8868586082856 |
L(r)(E,1)/r! |
Ω |
0.026206369553461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dc7 11760cd8 6720bw8 |
Quadratic twists by: -4 8 -7 |