Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616u |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
217096122067968 = 210 · 3 · 114 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17632,-562288] |
[a1,a2,a3,a4,a6] |
j |
122657188/43923 |
j-invariant |
L |
3.4128969862511 |
L(r)(E,1)/r! |
Ω |
0.42661212327433 |
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 |
89232b3 264c3 |
Quadratic twists by: -4 13 |