Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680p |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4978713600000000 = 216 · 34 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120800,15840000] |
[a1,a2,a3,a4,a6] |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
1.723611497434 |
L(r)(E,1)/r! |
Ω |
0.43090287435849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
210e3 6720cd4 5040bi3 8400cc4 |
Quadratic twists by: -4 8 -3 5 |