Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800t |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
64 |
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] |
j |
-65743598656/5294205 |
j-invariant |
L |
2.8073601749399 |
L(r)(E,1)/r! |
Ω |
0.17546001093374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800l2 33600eu1 50400dk2 3360r2 |
Quadratic twists by: -4 8 -3 5 |