Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600fa |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2205000000 = -1 · 26 · 32 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,2262] |
[a1,a2,a3,a4,a6] |
Generators |
[7:50:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
4.9939897516267 |
L(r)(E,1)/r! |
Ω |
1.1670276003663 |
Real period |
R |
1.0698096921742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gd1 16800bv2 100800nj1 6720ch1 |
Quadratic twists by: -4 8 -3 5 |