Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fs |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.60876E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41785633,101033299137] |
[a1,a2,a3,a4,a6] |
Generators |
[5869821747:37065291200:1367631] |
Generators of the group modulo torsion |
j |
1969902499564819009/63690429687500 |
j-invariant |
L |
9.8328124006055 |
L(r)(E,1)/r! |
Ω |
0.097676032857891 |
Real period |
R |
12.583450752916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bf4 30800ca4 24640bt4 |
Quadratic twists by: -4 8 5 |