Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bm |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
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 |
[-306840:25261453:3375] |
Generators of the group modulo torsion |
j |
-504985875929137/3362745482118 |
j-invariant |
L |
5.7041634705711 |
L(r)(E,1)/r! |
Ω |
0.24162335739742 |
Real period |
R |
11.803832899287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128t5 10032o6 120384co5 |
Quadratic twists by: -4 8 -3 |