Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6728d |
Isogeny class |
Conductor |
6728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-17663873340416 = -1 · 210 · 297 |
Discriminant |
Eigenvalues |
2- 1 -3 2 3 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6448,-32176] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
1.6146822915778 |
L(r)(E,1)/r! |
Ω |
0.40367057289444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13456c1 53824e1 60552i1 232a1 |
Quadratic twists by: -4 8 -3 29 |