Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gc |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2352000000 = -1 · 210 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,2363] |
[a1,a2,a3,a4,a6] |
Generators |
[19:84:1] |
Generators of the group modulo torsion |
j |
-16384/147 |
j-invariant |
L |
6.5750265597218 |
L(r)(E,1)/r! |
Ω |
1.2432789353627 |
Real period |
R |
2.6442282470603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600w1 8400bj1 100800lq1 1344o1 |
Quadratic twists by: -4 8 -3 5 |