Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bo |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5722472448 = 217 · 34 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1793,29601] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:240:1] [-5:196:1] |
Generators of the group modulo torsion |
j |
4866277250/43659 |
j-invariant |
L |
5.7830888459438 |
L(r)(E,1)/r! |
Ω |
1.3569010594585 |
Real period |
R |
1.0654956759065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784bi2 3696k2 44352dt2 103488hk2 |
Quadratic twists by: -4 8 -3 -7 |