Atkin-Lehner |
7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5159b |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4369673 = 72 · 113 · 67 |
Discriminant |
Eigenvalues |
1 -2 0 7+ 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-475611,-126287863] |
[a1,a2,a3,a4,a6] |
Generators |
[14015634192658804250:1082960242708803120231:2286924734375000] |
Generators of the group modulo torsion |
j |
11898112499525546547625/4369673 |
j-invariant |
L |
2.9415663834073 |
L(r)(E,1)/r! |
Ω |
0.18179699128898 |
Real period |
R |
32.361001824627 |
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 |
82544bk2 46431i2 128975f2 36113b2 |
Quadratic twists by: -4 -3 5 -7 |