Atkin-Lehner |
3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2601i |
Isogeny class |
Conductor |
2601 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23498726697 = -1 · 314 · 173 |
Discriminant |
Eigenvalues |
1 3- 0 -4 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,-5495] |
[a1,a2,a3,a4,a6] |
j |
5359375/6561 |
j-invariant |
L |
1.2869081915362 |
L(r)(E,1)/r! |
Ω |
0.64345409576809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616by2 867b2 65025bp2 127449bf2 |
Quadratic twists by: -4 -3 5 -7 |