Atkin-Lehner |
5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055u |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.0608320918167E+20 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4924602,-4091851024] |
[a1,a2,a3,a4,a6] |
Generators |
[-70956:167941:64] |
Generators of the group modulo torsion |
j |
7455571334873897481/229223385015625 |
j-invariant |
L |
3.6897867490554 |
L(r)(E,1)/r! |
Ω |
0.10153692132211 |
Real period |
R |
6.0565600193485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b2 |
Quadratic twists by: -11 |