Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ec |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.4297357751379E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4348067513,110309749336217] |
[a1,a2,a3,a4,a6] |
j |
105997782562506306791694649/51649016225625000000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
19110be2 8190bp2 |
Quadratic twists by: -3 -7 |