Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045x |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
694392329255625 = 38 · 54 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22680,-342149] |
[a1,a2,a3,a4,a6] |
j |
1769848555063681/952527200625 |
j-invariant |
L |
3.3134438629499 |
L(r)(E,1)/r! |
Ω |
0.41418048290659 |
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 |
15015f2 |
Quadratic twists by: -3 |