Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bd |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.4734187117004E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48041667,-125901267759] |
[a1,a2,a3,a4,a6] |
Generators |
[-4401:18738:1] |
Generators of the group modulo torsion |
j |
9150443179640281/184570312500 |
j-invariant |
L |
3.9143716979068 |
L(r)(E,1)/r! |
Ω |
0.057415279018988 |
Real period |
R |
2.1305150414602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350ck4 4410bk4 3150k4 |
Quadratic twists by: -3 5 -7 |