Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2584a |
Isogeny class |
Conductor |
2584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-87856 = -1 · 24 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
2048/5491 |
j-invariant |
L |
2.0115454703009 |
L(r)(E,1)/r! |
Ω |
1.5777071112559 |
Real period |
R |
1.274980290036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5168a1 20672e1 23256h1 64600j1 |
Quadratic twists by: -4 8 -3 5 |