Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289i |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1080983360351223 = 322 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1654686,-818844471] |
[a1,a2,a3,a4,a6] |
j |
687294880133172274657/1482830398287 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763h4 |
Quadratic twists by: -3 |