Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786p |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1663485367122356544 = -1 · 26 · 322 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118814,64054253] |
[a1,a2,a3,a4,a6] |
j |
-254445988507992217/2281872931580736 |
j-invariant |
L |
5.4615919747773 |
L(r)(E,1)/r! |
Ω |
0.22756633228239 |
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 |
54288bs3 2262h4 88218s3 |
Quadratic twists by: -4 -3 13 |