Atkin-Lehner |
17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13583d |
Isogeny class |
Conductor |
13583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
27383245149798767 = 1712 · 47 |
Discriminant |
Eigenvalues |
-1 -2 0 2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-102023,-9700526] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:1678:1] [-146:1518:1] |
Generators of the group modulo torsion |
j |
4865469108625/1134465743 |
j-invariant |
L |
3.3776834571784 |
L(r)(E,1)/r! |
Ω |
0.27162572911317 |
Real period |
R |
12.435064484518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122247f2 799b2 |
Quadratic twists by: -3 17 |