Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cn |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56085952462848 = 217 · 38 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-226401,41386527] |
[a1,a2,a3,a4,a6] |
j |
9791533777258802/427901859 |
j-invariant |
L |
4.7223113645449 |
L(r)(E,1)/r! |
Ω |
0.59028892056811 |
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 |
14784l2 3696h2 44352fc2 103488fu2 |
Quadratic twists by: -4 8 -3 -7 |