Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784ce |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2128896 = -1 · 210 · 33 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
4.4762113505281 |
L(r)(E,1)/r! |
Ω |
1.3729114741107 |
Real period |
R |
1.0867929056697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784u1 3696o1 44352eb1 103488fo1 |
Quadratic twists by: -4 8 -3 -7 |