Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680n |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45158400 = 212 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,432] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] |
Generators of the group modulo torsion |
j |
47045881/11025 |
j-invariant |
L |
2.5500823063495 |
L(r)(E,1)/r! |
Ω |
1.9014696819229 |
Real period |
R |
0.67055560511768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105a2 6720bx2 5040bd2 8400cg2 |
Quadratic twists by: -4 8 -3 5 |