Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7875000000000000000 = 215 · 32 · 518 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588033,108864063] |
[a1,a2,a3,a4,a6] |
j |
43919722445768/15380859375 |
j-invariant |
L |
3.43472777103 |
L(r)(E,1)/r! |
Ω |
0.21467048568925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600bc3 16800f2 100800ee3 6720h3 |
Quadratic twists by: -4 8 -3 5 |