Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ec |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
158760000000000 = 212 · 34 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16633,566137] |
[a1,a2,a3,a4,a6] |
j |
7952095936/2480625 |
j-invariant |
L |
2.1310698643004 |
L(r)(E,1)/r! |
Ω |
0.53276746607776 |
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 |
33600gj2 16800n1 100800kz2 6720ck2 |
Quadratic twists by: -4 8 -3 5 |