Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8584f |
Isogeny class |
Conductor |
8584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
7965952 = 28 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 -5 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,-325] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] [17:58:1] |
Generators of the group modulo torsion |
j |
307981312/31117 |
j-invariant |
L |
5.4778769278951 |
L(r)(E,1)/r! |
Ω |
1.5630238134234 |
Real period |
R |
0.87616658186063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17168f1 68672b1 77256d1 |
Quadratic twists by: -4 8 -3 |