Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800t |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
55330330176000000 = 212 · 310 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1960233,-1055640663] |
[a1,a2,a3,a4,a6] |
Generators |
[991281907:43472613800:357911] |
Generators of the group modulo torsion |
j |
13015685560572352/864536409 |
j-invariant |
L |
5.9512916337858 |
L(r)(E,1)/r! |
Ω |
0.12759226383449 |
Real period |
R |
11.660761113109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999444 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800dh2 26400x1 2112n2 |
Quadratic twists by: -4 8 5 |