Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600o |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
210000000000 = 210 · 3 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1533,7437] |
[a1,a2,a3,a4,a6] |
j |
24918016/13125 |
j-invariant |
L |
1.7555426454134 |
L(r)(E,1)/r! |
Ω |
0.87777132270336 |
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 |
33600fw1 4200z1 100800ek1 6720p1 |
Quadratic twists by: -4 8 -3 5 |