Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dc |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5551942769049600 = 220 · 36 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188523,-31301478] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:450:1] |
Generators of the group modulo torsion |
j |
248158561089321/1859334400 |
j-invariant |
L |
4.5143395385374 |
L(r)(E,1)/r! |
Ω |
0.22922112491428 |
Real period |
R |
2.4617820130281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999493 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bc2 6160j2 |
Quadratic twists by: -4 -3 |