Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600b |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70560000000000 = 214 · 32 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23633,-1330863] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:192:1] |
Generators of the group modulo torsion |
j |
5702413264/275625 |
j-invariant |
L |
3.919912727441 |
L(r)(E,1)/r! |
Ω |
0.38620528477107 |
Real period |
R |
2.5374540963135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600gk2 4200w2 100800cz2 6720bc2 |
Quadratic twists by: -4 8 -3 5 |