Atkin-Lehner |
2- 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390bb |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
174800 |
Modular degree for the optimal curve |
Δ |
-1681987165224960 = -1 · 223 · 3 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22604,-1475440] |
[a1,a2,a3,a4,a6] |
j |
1277257340188654271/1681987165224960 |
j-invariant |
L |
5.8027328872542 |
L(r)(E,1)/r! |
Ω |
0.25229273422842 |
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 |
82170y1 |
Quadratic twists by: -3 |