Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bt |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-40128 = -1 · 26 · 3 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
-262144/627 |
j-invariant |
L |
3.8706038505867 |
L(r)(E,1)/r! |
Ω |
3.2149541181038 |
Real period |
R |
1.2039375084057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128p1 10032m1 120384dn1 |
Quadratic twists by: -4 8 -3 |