Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bh |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79659417600 = 214 · 34 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2961,-59535] |
[a1,a2,a3,a4,a6] |
j |
175293437776/4862025 |
j-invariant |
L |
1.2965626599059 |
L(r)(E,1)/r! |
Ω |
0.64828132995294 |
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 |
6720w2 1680h2 20160ew2 33600gu2 |
Quadratic twists by: -4 8 -3 5 |