Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720m |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
251475840000 = 210 · 36 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,3166] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:140:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
5.3558501372036 |
L(r)(E,1)/r! |
Ω |
0.8461918142749 |
Real period |
R |
0.79116963300351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bp2 3080d2 |
Quadratic twists by: -4 -3 |