Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
832h |
Isogeny class |
Conductor |
832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2768896 = -1 · 214 · 132 |
Discriminant |
Eigenvalues |
2- 0 -2 2 -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,80] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
2.168815928857 |
L(r)(E,1)/r! |
Ω |
1.9815358237475 |
Real period |
R |
0.54725630060912 |
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 |
832d2 208c1 7488cb2 20800cg2 |
Quadratic twists by: -4 8 -3 5 |