Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720y |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
440401920 = 222 · 3 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-897] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:159:8] |
Generators of the group modulo torsion |
j |
4826809/1680 |
j-invariant |
L |
5.2182814596312 |
L(r)(E,1)/r! |
Ω |
1.2673482003422 |
Real period |
R |
4.1174804668694 |
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 |
6720bv1 210d1 20160bf1 33600y1 |
Quadratic twists by: -4 8 -3 5 |