Atkin-Lehner |
2+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320m |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-11048960 = -1 · 211 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 3 13- 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,160] |
[a1,a2,a3,a4,a6] |
j |
-2/5395 |
j-invariant |
L |
3.6152574250203 |
L(r)(E,1)/r! |
Ω |
1.807628664253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43160l1 |
Quadratic twists by: -4 |