Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048by |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40519264321536 = 214 · 3 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147232,-21693440] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:28910:1] |
Generators of the group modulo torsion |
j |
86173423834915873/9892398516 |
j-invariant |
L |
6.8188872321005 |
L(r)(E,1)/r! |
Ω |
0.24372593633357 |
Real period |
R |
3.4972105013992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bb4 |
Quadratic twists by: -4 |