Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240n |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
262180864000000 = 218 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16003,16002] |
[a1,a2,a3,a4,a6] |
Generators |
[72001:19320000:1] |
Generators of the group modulo torsion |
j |
110654219664729/64009000000 |
j-invariant |
L |
4.4670754652019 |
L(r)(E,1)/r! |
Ω |
0.46753014088164 |
Real period |
R |
4.7773128132212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2530a2 80960bu2 101200br2 |
Quadratic twists by: -4 8 5 |