Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450b |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
407502253088000000 = 211 · 56 · 78 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214292,22737616] |
[a1,a2,a3,a4,a6] |
j |
69650253363839121/26080144197632 |
j-invariant |
L |
0.54668172506872 |
L(r)(E,1)/r! |
Ω |
0.27334086253436 |
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 |
658e2 115150e2 |
Quadratic twists by: 5 -7 |