Atkin-Lehner |
2- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13294f |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
34126744746800672 = 25 · 1710 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26093431,-51296726993] |
[a1,a2,a3,a4,a6] |
j |
81399873824350973793/1413843488 |
j-invariant |
L |
2.6719403028971 |
L(r)(E,1)/r! |
Ω |
0.066798507572428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106352q4 119646y4 782e3 |
Quadratic twists by: -4 -3 17 |