Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dr |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
9868079923200 = 217 · 311 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12193,-499777] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:144:1] |
Generators of the group modulo torsion |
j |
61184457890/3011499 |
j-invariant |
L |
9.0786391155043 |
L(r)(E,1)/r! |
Ω |
0.45571512566314 |
Real period |
R |
0.45276686133254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ge1 10200f1 81600bo1 |
Quadratic twists by: -4 8 5 |