Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856bw |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-23141376 = -1 · 210 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 1 6 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,376] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
4.1817829879179 |
L(r)(E,1)/r! |
Ω |
2.0140224093421 |
Real period |
R |
1.0381669460381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bh1 4464u1 1984h1 |
Quadratic twists by: -4 8 -3 |