Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320bi |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-24253655040 = -1 · 211 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880,-12832] |
[a1,a2,a3,a4,a6] |
Generators |
[83:702:1] |
Generators of the group modulo torsion |
j |
-102053522/32805 |
j-invariant |
L |
8.822726497471 |
L(r)(E,1)/r! |
Ω |
0.43117201462407 |
Real period |
R |
2.5577745650902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640o1 129960z1 43320f1 |
Quadratic twists by: -4 -3 -19 |