Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ey |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.7541765678694E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1811105,493097025] |
[a1,a2,a3,a4,a6] |
j |
21302308926361/8930250000 |
j-invariant |
L |
1.8868586082856 |
L(r)(E,1)/r! |
Ω |
0.15723821732076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040dc2 11760cd2 6720bw2 |
Quadratic twists by: -4 8 -7 |