Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322j |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24819481764 = 22 · 32 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-739,1469] |
[a1,a2,a3,a4,a6] |
j |
44636872368817/24819481764 |
j-invariant |
L |
4.1408840248596 |
L(r)(E,1)/r! |
Ω |
1.0352210062149 |
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 |
114576bi2 42966h2 100254bw2 |
Quadratic twists by: -4 -3 -7 |