Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100m |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1776390750000 = -1 · 24 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,-63875] |
[a1,a2,a3,a4,a6] |
Generators |
[24740:487125:64] |
Generators of the group modulo torsion |
j |
131072/9747 |
j-invariant |
L |
4.8509370806625 |
L(r)(E,1)/r! |
Ω |
0.39866133770176 |
Real period |
R |
6.0840325131948 |
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 |
68400ez1 5700j1 684b1 |
Quadratic twists by: -4 -3 5 |