Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680l |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-33882912000 = -1 · 28 · 32 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,324,8460] |
[a1,a2,a3,a4,a6] |
j |
14647977776/132355125 |
j-invariant |
L |
0.85314483698831 |
L(r)(E,1)/r! |
Ω |
0.85314483698831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
420c4 6720cj4 5040bl4 8400ck4 |
Quadratic twists by: -4 8 -3 5 |