Atkin-Lehner |
2+ 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320g |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13120 |
Modular degree for the optimal curve |
Δ |
-86320 = -1 · 24 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 6 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,-12] |
[a1,a2,a3,a4,a6] |
j |
702464/5395 |
j-invariant |
L |
1.6922257993997 |
L(r)(E,1)/r! |
Ω |
1.6922257774369 |
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 |
43160j1 |
Quadratic twists by: -4 |