Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800p |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
484737702480000000 = 210 · 38 · 57 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288075,49189750] |
[a1,a2,a3,a4,a6] |
j |
226669409284/41558445 |
j-invariant |
L |
1.1223452533017 |
L(r)(E,1)/r! |
Ω |
0.28058631304458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bs3 18600ba3 11160m4 |
Quadratic twists by: -4 -3 5 |