Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322g |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
99348488227296 = 25 · 34 · 73 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-573737492,5289301599221] |
[a1,a2,a3,a4,a6] |
j |
20886391009440079457541083618113/99348488227296 |
j-invariant |
L |
3.9165412130371 |
L(r)(E,1)/r! |
Ω |
0.19582706065185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576cc4 42966k4 100254cu4 |
Quadratic twists by: -4 -3 -7 |