Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gv |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-3214425030801930000 = -1 · 24 · 36 · 54 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-259880,100269947] |
[a1,a2,a3,a4,a6] |
Generators |
[210310:7302691:1000] |
Generators of the group modulo torsion |
j |
-4260231253278025/7054979491472 |
j-invariant |
L |
9.212934368508 |
L(r)(E,1)/r! |
Ω |
0.22568683072509 |
Real period |
R |
5.1027204024817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350l1 84150bh2 |
Quadratic twists by: -3 5 |