Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cr |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.2740825011131E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52373953,-145832393665] |
[a1,a2,a3,a4,a6] |
Generators |
[-33487584007061762234956839992811:-27823170249513265525013212596548:7882671688141756909068240849] |
Generators of the group modulo torsion |
j |
60607987148648054544625/35377817158176768 |
j-invariant |
L |
5.541157404089 |
L(r)(E,1)/r! |
Ω |
0.056122360787081 |
Real period |
R |
49.366752624919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144n2 19536x2 |
Quadratic twists by: -4 8 |