Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562v |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
102960 |
Modular degree for the optimal curve |
Δ |
-9980869973872616 = -1 · 23 · 76 · 139 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24670,4571452] |
[a1,a2,a3,a4,a6] |
Generators |
[8464:774604:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
3.0736231024369 |
L(r)(E,1)/r! |
Ω |
0.29501633069865 |
Real period |
R |
5.2092423072954 |
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 |
338d1 16562bu1 |
Quadratic twists by: -7 13 |