Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bu |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.8835701951252E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257880101,-1593749363299] |
[a1,a2,a3,a4,a6] |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
1.8083767796975 |
L(r)(E,1)/r! |
Ω |
0.037674516279974 |
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 |
19074f2 3366m2 |
Quadratic twists by: -3 17 |