Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14484c |
Isogeny class |
Conductor |
14484 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-171185584896 = -1 · 28 · 33 · 173 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -5 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,795,-18207] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2414:1] |
Generators of the group modulo torsion |
j |
216789745664/668693691 |
j-invariant |
L |
3.1208434354182 |
L(r)(E,1)/r! |
Ω |
0.52060970833738 |
Real period |
R |
0.33303295747264 |
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 |
57936ba1 43452d1 |
Quadratic twists by: -4 -3 |