Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840v |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.9893203860521E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6510387,4480170734] |
[a1,a2,a3,a4,a6] |
Generators |
[12418:1355940:1] |
Generators of the group modulo torsion |
j |
4234737878642/1247410125 |
j-invariant |
L |
6.6145189655999 |
L(r)(E,1)/r! |
Ω |
0.12078754730038 |
Real period |
R |
4.5634664012782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bk2 20280p2 4680n2 |
Quadratic twists by: -4 -3 13 |