Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bt |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.5530696304076E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1258726694,-17188100264599] |
[a1,a2,a3,a4,a6] |
j |
12534210458299016895673/315581882565708 |
j-invariant |
L |
4.8665207442132 |
L(r)(E,1)/r! |
Ω |
0.025346462205033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074j3 3366o3 |
Quadratic twists by: -3 17 |