Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992be |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
372506624 = 218 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9889,-375231] |
[a1,a2,a3,a4,a6] |
Generators |
[3247419:57946384:9261] |
Generators of the group modulo torsion |
j |
408023180713/1421 |
j-invariant |
L |
5.4608597859194 |
L(r)(E,1)/r! |
Ω |
0.47874901288635 |
Real period |
R |
11.406519154987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12992u2 3248h2 116928dk2 90944ej2 |
Quadratic twists by: -4 8 -3 -7 |