Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bc |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
928972800 = 216 · 34 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14945,-708225] |
[a1,a2,a3,a4,a6] |
j |
5633270409316/14175 |
j-invariant |
L |
3.4543250800711 |
L(r)(E,1)/r! |
Ω |
0.43179063500889 |
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 |
6720bn4 840b3 20160bl4 33600b4 |
Quadratic twists by: -4 8 -3 5 |