Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784i |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-217225462874112 = -1 · 216 · 316 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2177,710913] |
[a1,a2,a3,a4,a6] |
j |
-17418812548/3314597517 |
j-invariant |
L |
1.8317654835681 |
L(r)(E,1)/r! |
Ω |
0.45794137089201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784cl4 1848j4 44352y3 103488eb3 |
Quadratic twists by: -4 8 -3 -7 |