Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3809369088000000 = 216 · 312 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39233,345663] |
[a1,a2,a3,a4,a6] |
j |
6522128932/3720087 |
j-invariant |
L |
4.5469658306963 |
L(r)(E,1)/r! |
Ω |
0.3789138192243 |
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 |
33600c3 8400f4 100800na3 1344l4 |
Quadratic twists by: -4 8 -3 5 |