Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16884d |
Isogeny class |
Conductor |
16884 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-54483722496 = -1 · 28 · 33 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,729,-8290] |
[a1,a2,a3,a4,a6] |
Generators |
[31:210:1] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
4.3250921073241 |
L(r)(E,1)/r! |
Ω |
0.59841326970256 |
Real period |
R |
0.80306673336563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536bf2 16884b2 118188b2 |
Quadratic twists by: -4 -3 -7 |