Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ck |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2893401000000000000 = 212 · 310 · 512 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2026633,-1108136137] |
[a1,a2,a3,a4,a6] |
j |
14383655824793536/45209390625 |
j-invariant |
L |
2.5311496362191 |
L(r)(E,1)/r! |
Ω |
0.12655748181099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600bb2 16800e1 100800ed2 6720m2 |
Quadratic twists by: -4 8 -3 5 |