Atkin-Lehner |
2+ 3- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170y |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1398400 |
Modular degree for the optimal curve |
Δ |
-1226168643448995840 = -1 · 223 · 37 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,203436,39836880] |
[a1,a2,a3,a4,a6] |
j |
1277257340188654271/1681987165224960 |
j-invariant |
L |
1.8381455477567 |
L(r)(E,1)/r! |
Ω |
0.18381455143552 |
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 |
27390bb1 |
Quadratic twists by: -3 |