Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17914j |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-8186268064 = -1 · 25 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 2 -1 2 -5 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4651,-124103] |
[a1,a2,a3,a4,a6] |
Generators |
[733:19406:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
10.204820085558 |
L(r)(E,1)/r! |
Ω |
0.28904357849446 |
Real period |
R |
3.5305472409081 |
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 |
106d1 |
Quadratic twists by: 13 |