Atkin-Lehner |
17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13583b |
Isogeny class |
Conductor |
13583 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-5573630195359 = -1 · 179 · 47 |
Discriminant |
Eigenvalues |
-1 -2 2 -2 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3173,-90120] |
[a1,a2,a3,a4,a6] |
Generators |
[27080:230055:512] |
Generators of the group modulo torsion |
j |
29791/47 |
j-invariant |
L |
1.7469704659312 |
L(r)(E,1)/r! |
Ω |
0.40171449799518 |
Real period |
R |
8.6975724035338 |
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 |
122247s1 13583a1 |
Quadratic twists by: -3 17 |