Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664h |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
267890688 = 212 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2081,37233] |
[a1,a2,a3,a4,a6] |
j |
243438174784/65403 |
j-invariant |
L |
3.4040731057646 |
L(r)(E,1)/r! |
Ω |
1.7020365534984 |
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 |
53664o2 107328cn1 |
Quadratic twists by: -4 8 |