Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720x |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1.3044898391589E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4723280,3546837600] |
[a1,a2,a3,a4,a6] |
j |
5690165875538782580642/636957929276823375 |
j-invariant |
L |
5.3237692806405 |
L(r)(E,1)/r! |
Ω |
0.14788247997909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440i2 |
Quadratic twists by: -4 |