Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792f |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28012083073744896 = 215 · 36 · 73 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10671137,13420825185] |
[a1,a2,a3,a4,a6] |
Generators |
[3809:167400:1] |
Generators of the group modulo torsion |
j |
4101152366882499743816/854860933647 |
j-invariant |
L |
5.525439425891 |
L(r)(E,1)/r! |
Ω |
0.29634894694173 |
Real period |
R |
4.6612612283808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792bs4 28896h4 |
Quadratic twists by: -4 8 |