Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680h |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
35280 = 24 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-735,-7920] |
[a1,a2,a3,a4,a6] |
Generators |
[48:264:1] |
Generators of the group modulo torsion |
j |
2748251600896/2205 |
j-invariant |
L |
3.3091374215921 |
L(r)(E,1)/r! |
Ω |
0.91680824905271 |
Real period |
R |
3.6094106101371 |
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 |
840g1 6720bh1 5040i1 8400j1 |
Quadratic twists by: -4 8 -3 5 |