Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742j |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
45923518727481978 = 2 · 312 · 116 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2348082,1385447490] |
[a1,a2,a3,a4,a6] |
j |
1963975500122834382625/62995224591882 |
j-invariant |
L |
0.66987077139799 |
L(r)(E,1)/r! |
Ω |
0.33493538569899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
45936bk4 1914m4 63162bw4 |
Quadratic twists by: -4 -3 -11 |