Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800l |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-338829120000000 = -1 · 212 · 32 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33633,2545137] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2100:1] [-63:2100:1] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
6.0475762889874 |
L(r)(E,1)/r! |
Ω |
0.52968552756244 |
Real period |
R |
0.23786032680001 |
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 |
16800t2 33600ha1 50400dy2 3360y2 |
Quadratic twists by: -4 8 -3 5 |