Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ce |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5063448641823E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22429857,-40878778815] |
[a1,a2,a3,a4,a6] |
Generators |
[81572055997309871536040839977111747285:11376794982802498152429248348315880734720:3952972712385110915303069371247577] |
Generators of the group modulo torsion |
j |
4760617885089919932457/133756441657344 |
j-invariant |
L |
7.2107491077138 |
L(r)(E,1)/r! |
Ω |
0.069373508487375 |
Real period |
R |
51.970480251067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002958 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78144y2 19536bd2 |
Quadratic twists by: -4 8 |