Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gw |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-45360000000 = -1 · 210 · 34 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,-2637] |
[a1,a2,a3,a4,a6] |
j |
4499456/2835 |
j-invariant |
L |
2.6133786866268 |
L(r)(E,1)/r! |
Ω |
0.65334467165549 |
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 |
33600j1 8400i1 100800ns1 6720bq1 |
Quadratic twists by: -4 8 -3 5 |