Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800l |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
25725000000 = 26 · 3 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34258,2452012] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:200:1] [-18:1750:1] |
Generators of the group modulo torsion |
j |
4446542056384/25725 |
j-invariant |
L |
6.0475762889874 |
L(r)(E,1)/r! |
Ω |
1.0593710551249 |
Real period |
R |
0.95144130720004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800t1 33600ha2 50400dy1 3360y1 |
Quadratic twists by: -4 8 -3 5 |