Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576f |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-32645763072 = -1 · 212 · 36 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,-8512] |
[a1,a2,a3,a4,a6] |
j |
778688/10933 |
j-invariant |
L |
2.2874572596075 |
L(r)(E,1)/r! |
Ω |
0.57186423196697 |
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 |
108576e2 12064e2 |
Quadratic twists by: -4 -3 |