Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720l |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-3556224000000000000 = -1 · 219 · 34 · 512 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46655,-90662975] |
[a1,a2,a3,a4,a6] |
Generators |
[465:5600:1] |
Generators of the group modulo torsion |
j |
42841933504271/13565917968750 |
j-invariant |
L |
3.7757685625521 |
L(r)(E,1)/r! |
Ω |
0.11728690968331 |
Real period |
R |
0.44711920688374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720cg8 210a8 20160bn8 33600cc7 |
Quadratic twists by: -4 8 -3 5 |