Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cl |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6139611309202735104 = -1 · 227 · 36 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44731596,115151589488] |
[a1,a2,a3,a4,a6] |
j |
-10730978619193/6656 |
j-invariant |
L |
3.1516646808726 |
L(r)(E,1)/r! |
Ω |
0.19697903600951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fq3 3042f3 10816i3 7488t3 |
Quadratic twists by: -4 8 -3 13 |