Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bl |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-1.0002930997483E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3427320,2489148272] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:6885:1] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
6.5177295594231 |
L(r)(E,1)/r! |
Ω |
0.18905874867531 |
Real period |
R |
4.3093281883832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672bk1 97344el1 16224a1 48672j1 |
Quadratic twists by: -4 8 -3 13 |