Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616m |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5382548481024 = 210 · 32 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5464,110044] |
[a1,a2,a3,a4,a6] |
j |
3650692/1089 |
j-invariant |
L |
1.416697857388 |
L(r)(E,1)/r! |
Ω |
0.70834892867536 |
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 |
89232u2 264b2 |
Quadratic twists by: -4 13 |