Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bk |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-236687048801280 = -1 · 210 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3357,736398] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:640:1] [-29:784:1] |
Generators of the group modulo torsion |
j |
5604672636/317064055 |
j-invariant |
L |
7.8171122572528 |
L(r)(E,1)/r! |
Ω |
0.42370745915967 |
Real period |
R |
2.3061643382316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440o3 3080b4 |
Quadratic twists by: -4 -3 |