Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420w |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
3.3215610548531E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99581592,382486927849] |
[a1,a2,a3,a4,a6] |
Generators |
[-10117:595350:1] |
Generators of the group modulo torsion |
j |
9362964919254624808075264/2847703236328125 |
j-invariant |
L |
5.5318073052623 |
L(r)(E,1)/r! |
Ω |
0.16668133492897 |
Real period |
R |
1.8437734987009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680eu3 7140j3 107100ba3 |
Quadratic twists by: -4 -3 5 |