Atkin-Lehner |
5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5005b |
Isogeny class |
Conductor |
5005 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
229223385015625 = 56 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40699,3085368] |
[a1,a2,a3,a4,a6] |
j |
7455571334873897481/229223385015625 |
j-invariant |
L |
1.6668300854059 |
L(r)(E,1)/r! |
Ω |
0.55561002846862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80080bx2 45045r2 25025h2 35035c2 |
Quadratic twists by: -4 -3 5 -7 |