Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344en |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.348125128764E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4552860,-3471154544] |
[a1,a2,a3,a4,a6] |
Generators |
[-331324:1728936:343] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
7.5114812455109 |
L(r)(E,1)/r! |
Ω |
0.10387883869504 |
Real period |
R |
9.0387529111305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344y4 24336bh4 32448cy4 7488bp4 |
Quadratic twists by: -4 8 -3 13 |