Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680f |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13440000 = 210 · 3 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,-3900] |
[a1,a2,a3,a4,a6] |
j |
10262905636/13125 |
j-invariant |
L |
2.0660572595662 |
L(r)(E,1)/r! |
Ω |
1.0330286297831 |
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 |
840e4 6720bq3 5040p4 8400i3 |
Quadratic twists by: -4 8 -3 5 |