Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784d |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
718425257619750912 = 219 · 32 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224449,3556033] |
[a1,a2,a3,a4,a6] |
Generators |
[963:26068:1] |
Generators of the group modulo torsion |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
3.1019905711188 |
L(r)(E,1)/r! |
Ω |
0.24376263665227 |
Real period |
R |
6.3627277209505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784cq4 462f3 44352bk3 103488dd3 |
Quadratic twists by: -4 8 -3 -7 |