Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720l |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.6876217973586E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287708403,1888721993198] |
[a1,a2,a3,a4,a6] |
j |
-1764102724103262766456802/11303622506742021225 |
j-invariant |
L |
2.232529758038 |
L(r)(E,1)/r! |
Ω |
0.069766554938684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440i5 9240w6 |
Quadratic twists by: -4 -3 |