Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cs |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5941444608 = 214 · 34 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657,5103] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:84:1] |
Generators of the group modulo torsion |
j |
1917170512/362637 |
j-invariant |
L |
9.3217223574343 |
L(r)(E,1)/r! |
Ω |
1.2787771662575 |
Real period |
R |
1.8223898978499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144p2 19536f2 |
Quadratic twists by: -4 8 |