Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420w |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9.6977365180383E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4771113,2521604734] |
[a1,a2,a3,a4,a6] |
Generators |
[-4558502:-625548825:17576] |
Generators of the group modulo torsion |
j |
64359894910378156976/51964037412328125 |
j-invariant |
L |
5.5318073052623 |
L(r)(E,1)/r! |
Ω |
0.083340667464485 |
Real period |
R |
11.062640992205 |
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 |
85680eu2 7140j2 107100ba2 |
Quadratic twists by: -4 -3 5 |