Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440cd |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3966984806400 = -1 · 213 · 33 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3723,129722] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:280:1] [-19:-440:1] |
Generators of the group modulo torsion |
j |
-51603494067/35870450 |
j-invariant |
L |
9.6291925164667 |
L(r)(E,1)/r! |
Ω |
0.72160601818304 |
Real period |
R |
0.41700354287157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930r2 55440cn2 |
Quadratic twists by: -4 -3 |