Atkin-Lehner |
3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457c |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-2703026230689807 = -1 · 38 · 112 · 237 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16388,2368847] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1019:1] |
Generators of the group modulo torsion |
j |
3288008303/18259263 |
j-invariant |
L |
4.2944138542294 |
L(r)(E,1)/r! |
Ω |
0.32807147512034 |
Real period |
R |
3.2724681814033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52371d1 759b1 |
Quadratic twists by: -3 -23 |