Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fj |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3612672000 = -1 · 216 · 32 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,287,-2303] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-112:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
4.5604470751287 |
L(r)(E,1)/r! |
Ω |
0.74619917227236 |
Real period |
R |
0.76394601545207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dq2 8400bc2 100800oq2 33600hh2 |
Quadratic twists by: -4 8 -3 5 |