Atkin-Lehner |
2+ 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728d |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.6920093100097E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5347581,-6297603298] |
[a1,a2,a3,a4,a6] |
j |
11327611512659194366/18030969422540181 |
j-invariant |
L |
2.2542974988618 |
L(r)(E,1)/r! |
Ω |
0.062619374856942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129456k5 21576h5 |
Quadratic twists by: -4 -3 |