Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bx |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1854081073152 = 219 · 38 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6753,205569] |
[a1,a2,a3,a4,a6] |
Generators |
[11:364:1] |
Generators of the group modulo torsion |
j |
129938649625/7072758 |
j-invariant |
L |
4.2975916704595 |
L(r)(E,1)/r! |
Ω |
0.8222377856497 |
Real period |
R |
2.6133508733509 |
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 |
14784z2 3696ba2 44352eq2 103488hl2 |
Quadratic twists by: -4 8 -3 -7 |