Atkin-Lehner |
2+ 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43160b |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-9514535680 = -1 · 28 · 5 · 13 · 833 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 2 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,172,4612] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:58:1] [9:83:1] |
Generators of the group modulo torsion |
j |
2198209536/37166155 |
j-invariant |
L |
7.9439503421664 |
L(r)(E,1)/r! |
Ω |
0.9634731794175 |
Real period |
R |
0.6870931915795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320a1 |
Quadratic twists by: -4 |