Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gd |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33600000000 = 212 · 3 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2633,-52137] |
[a1,a2,a3,a4,a6] |
Generators |
[6372:52875:64] |
Generators of the group modulo torsion |
j |
31554496/525 |
j-invariant |
L |
6.9670000896123 |
L(r)(E,1)/r! |
Ω |
0.66713124252339 |
Real period |
R |
5.2216113153834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600fa2 16800bd1 100800lj2 6720bs2 |
Quadratic twists by: -4 8 -3 5 |