Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296dc |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2940205986791424 = 214 · 37 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36156,442960] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1755:1] [-27:1183:1] |
Generators of the group modulo torsion |
j |
437640371152/246167259 |
j-invariant |
L |
10.802524988488 |
L(r)(E,1)/r! |
Ω |
0.38953434729518 |
Real period |
R |
4.6219822307548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bd2 31824u2 42432cp2 |
Quadratic twists by: -4 8 -3 |