Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440a |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0552733746552E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8463041,-9460559679] |
[a1,a2,a3,a4,a6] |
Generators |
[7828434095196058967:-253753329914510491764:2022796780419709] |
Generators of the group modulo torsion |
j |
255719105183305589041/402554845678410 |
j-invariant |
L |
5.3689720849636 |
L(r)(E,1)/r! |
Ω |
0.088523586378151 |
Real period |
R |
30.325093616083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bh4 2670e4 |
Quadratic twists by: -4 8 |