Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720i |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
33339600000000 = 210 · 35 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111965,-14380275] |
[a1,a2,a3,a4,a6] |
j |
151591373397612544/32558203125 |
j-invariant |
L |
1.0439849765106 |
L(r)(E,1)/r! |
Ω |
0.26099624412765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720cl1 840d1 20160y1 33600cs1 |
Quadratic twists by: -4 8 -3 5 |