Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128t |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-881523551664340992 = -1 · 219 · 32 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106177,-47129953] |
[a1,a2,a3,a4,a6] |
Generators |
[23999729:-2507339940:2197] |
Generators of the group modulo torsion |
j |
-504985875929137/3362745482118 |
j-invariant |
L |
8.2754798432359 |
L(r)(E,1)/r! |
Ω |
0.11765708469173 |
Real period |
R |
8.7919480846793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bm5 1254h6 120384bv5 |
Quadratic twists by: -4 8 -3 |