Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720ba |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
185177664000000 = 212 · 310 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81065,8832663] |
[a1,a2,a3,a4,a6] |
Generators |
[346:-4725:1] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
4.9572079699012 |
L(r)(E,1)/r! |
Ω |
0.57055757374768 |
Real period |
R |
0.28961190468124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720m2 3360b1 20160bc2 33600bb2 |
Quadratic twists by: -4 8 -3 5 |