Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bj |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-11590656 = -1 · 210 · 3 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,-33] |
[a1,a2,a3,a4,a6] |
j |
17643776/11319 |
j-invariant |
L |
3.8905745165335 |
L(r)(E,1)/r! |
Ω |
1.2968581721778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784bp1 924c1 44352bw1 103488bu1 |
Quadratic twists by: -4 8 -3 -7 |