Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ec |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8.8443437966566E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69560942513,7061506606486217] |
[a1,a2,a3,a4,a6] |
j |
434014578033107719741685694649/103121648659575000 |
j-invariant |
L |
1.0321850177478 |
L(r)(E,1)/r! |
Ω |
0.043007709197319 |
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 |
19110be3 8190bp3 |
Quadratic twists by: -3 -7 |