Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bt |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8.5115281564282E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81670154,-246960895687] |
[a1,a2,a3,a4,a6] |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
4.8665207442132 |
L(r)(E,1)/r! |
Ω |
0.050692924410066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19074j2 3366o2 |
Quadratic twists by: -3 17 |