Atkin-Lehner |
2+ 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832d |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2390066528256 = 216 · 34 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6017,-161535] |
[a1,a2,a3,a4,a6] |
j |
367668134788/36469521 |
j-invariant |
L |
1.0910446593786 |
L(r)(E,1)/r! |
Ω |
0.54552266347131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128832bo2 16104d2 |
Quadratic twists by: -4 8 |