Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280k |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11584341600000000 = -1 · 211 · 3 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13576,-5218576] |
[a1,a2,a3,a4,a6] |
j |
-27995042/1171875 |
j-invariant |
L |
2.8167549003723 |
L(r)(E,1)/r! |
Ω |
0.17604718127327 |
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 |
40560a5 60840bs5 101400cb5 120a6 |
Quadratic twists by: -4 -3 5 13 |