Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720ba |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
99973082345472000 = 215 · 320 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116065,425663] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1620:1] |
Generators of the group modulo torsion |
j |
5276930158229192/3050936350875 |
j-invariant |
L |
4.9572079699012 |
L(r)(E,1)/r! |
Ω |
0.28527878687384 |
Real period |
R |
0.57922380936248 |
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 |
6720m4 3360b2 20160bc4 33600bb3 |
Quadratic twists by: -4 8 -3 5 |