Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420q |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.1574712547372E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13150767,-18329626874] |
[a1,a2,a3,a4,a6] |
Generators |
[-12423006:-24634925:5832] |
Generators of the group modulo torsion |
j |
1347750395781305047504/2227725938109375 |
j-invariant |
L |
4.967155163638 |
L(r)(E,1)/r! |
Ω |
0.079287532113742 |
Real period |
R |
10.441227918758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140f2 |
Quadratic twists by: -3 |