Atkin-Lehner |
7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
5159c |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552 |
Modular degree for the optimal curve |
Δ |
36113 = 72 · 11 · 67 |
Discriminant |
Eigenvalues |
-1 2 0 7+ 11+ 6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,10] |
[a1,a2,a3,a4,a6] |
j |
244140625/36113 |
j-invariant |
L |
1.756545839189 |
L(r)(E,1)/r! |
Ω |
3.513091678378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544bi1 46431j1 128975d1 36113c1 |
Quadratic twists by: -4 -3 5 -7 |