Atkin-Lehner |
3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6279i |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74465610327927 = 34 · 72 · 138 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-487459,130953890] |
[a1,a2,a3,a4,a6] |
Generators |
[6413:507440:1] |
Generators of the group modulo torsion |
j |
12809673120042437301937/74465610327927 |
j-invariant |
L |
2.4130866844371 |
L(r)(E,1)/r! |
Ω |
0.54531219584112 |
Real period |
R |
4.4251471044307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
100464bk4 18837f3 43953f4 81627u4 |
Quadratic twists by: -4 -3 -7 13 |