Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990s |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
82690478383500000 = 25 · 36 · 56 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123684,9459440] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:3967:1] |
Generators of the group modulo torsion |
j |
287037557094736449/113430011500000 |
j-invariant |
L |
4.8346629431788 |
L(r)(E,1)/r! |
Ω |
0.31078571731321 |
Real period |
R |
0.43211829046068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6110b2 |
Quadratic twists by: -3 |