Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fq |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[1098005589479025629375571507:-183670242707181636265964908661:37066463715852589325679] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
9.7741090285999 |
L(r)(E,1)/r! |
Ω |
0.029188780079123 |
Real period |
R |
41.857303568807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cl3 24336by3 10816bf3 7488bv3 |
Quadratic twists by: -4 8 -3 13 |