Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bh |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1687006310400 = 212 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23403,1376602] |
[a1,a2,a3,a4,a6] |
Generators |
[71:270:1] |
Generators of the group modulo torsion |
j |
474734543401/564975 |
j-invariant |
L |
4.940792703542 |
L(r)(E,1)/r! |
Ω |
0.83804294060653 |
Real period |
R |
1.473907977784 |
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 |
1395b2 89280fe2 7440x2 111600eb2 |
Quadratic twists by: -4 8 -3 5 |