Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016r |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-4831310448 = -1 · 24 · 39 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -3 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8414,-294297] |
[a1,a2,a3,a4,a6] |
Generators |
[609:14835:1] |
Generators of the group modulo torsion |
j |
-4117777414120192/301956903 |
j-invariant |
L |
2.4559603678311 |
L(r)(E,1)/r! |
Ω |
0.24923711766052 |
Real period |
R |
4.9269554849692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8004c1 128064du1 96048bd1 |
Quadratic twists by: -4 8 -3 |