Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289i |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.8235669440763E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,740259,273143664] |
[a1,a2,a3,a4,a6] |
j |
61538505143427499823/79884320220525303 |
j-invariant |
L |
4.2596182475639 |
L(r)(E,1)/r! |
Ω |
0.13311307023251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763h6 |
Quadratic twists by: -3 |