Atkin-Lehner |
2- 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14790q |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
488779920 = 24 · 36 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-615,5517] |
[a1,a2,a3,a4,a6] |
Generators |
[5:48:1] |
Generators of the group modulo torsion |
j |
25727239787761/488779920 |
j-invariant |
L |
6.5670806121891 |
L(r)(E,1)/r! |
Ω |
1.6584476591069 |
Real period |
R |
0.98994390569513 |
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 |
118320cn1 44370m1 73950bi1 |
Quadratic twists by: -4 -3 5 |