Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bd |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
180633600 = 214 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,143] |
[a1,a2,a3,a4,a6] |
j |
20720464/11025 |
j-invariant |
L |
3.1548719920365 |
L(r)(E,1)/r! |
Ω |
1.5774359960182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720bq2 840e2 20160bu2 33600j2 |
Quadratic twists by: -4 8 -3 5 |