Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562t |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-5064257989701638 = -1 · 2 · 79 · 137 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- -1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27431,2936779] |
[a1,a2,a3,a4,a6] |
Generators |
[366:-16745:8] [247:4850:1] |
Generators of the group modulo torsion |
j |
4019679/8918 |
j-invariant |
L |
2.5967115950961 |
L(r)(E,1)/r! |
Ω |
0.29963001846873 |
Real period |
R |
0.54164958345271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366g1 1274o1 |
Quadratic twists by: -7 13 |