Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fp |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-8064000 = -1 · 210 · 32 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,117] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
4.7149033566148 |
L(r)(E,1)/r! |
Ω |
1.6616166744672 |
Real period |
R |
1.4187698730595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dx1 8400cq1 100800pa1 33600hm1 |
Quadratic twists by: -4 8 -3 5 |