Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016z |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-24252768417742848 = -1 · 218 · 314 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86864,12350100] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:4698:1] |
Generators of the group modulo torsion |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
5.8121698930012 |
L(r)(E,1)/r! |
Ω |
0.3573528829523 |
Real period |
R |
0.58087539259148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002k1 128064ce1 96048bo1 |
Quadratic twists by: -4 8 -3 |