Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616u |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1345637120256 = 28 · 32 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7492,240800] |
[a1,a2,a3,a4,a6] |
j |
37642192/1089 |
j-invariant |
L |
3.4128969862511 |
L(r)(E,1)/r! |
Ω |
0.85322424654867 |
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 |
89232b2 264c2 |
Quadratic twists by: -4 13 |