Atkin-Lehner |
3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279a |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
18837 = 32 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 0 7+ -3 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:0:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
64000000/18837 |
j-invariant |
L |
2.4674609961105 |
L(r)(E,1)/r! |
Ω |
2.873472034614 |
Real period |
R |
0.4293518374961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464by1 18837b1 43953ba1 81627n1 |
Quadratic twists by: -4 -3 -7 13 |