Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664l |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
267890688 = 212 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,-513] |
[a1,a2,a3,a4,a6] |
j |
150568768/65403 |
j-invariant |
L |
5.4445548433324 |
L(r)(E,1)/r! |
Ω |
1.3611387103709 |
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 |
53664a2 107328j1 |
Quadratic twists by: -4 8 |