Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bq |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1374654151431932427 = -1 · 319 · 72 · 176 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2372979,-1408113702] |
[a1,a2,a3,a4,a6] |
Generators |
[4383464892:1028850292430:79507] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
3.8004746915245 |
L(r)(E,1)/r! |
Ω |
0.06081656123042 |
Real period |
R |
15.622696767271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999772135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483x2 127449v2 441f2 |
Quadratic twists by: -3 -7 17 |