Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bo |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17702092800 = 215 · 32 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9665,-362463] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:5:1] |
Generators of the group modulo torsion |
j |
3047363673992/540225 |
j-invariant |
L |
3.5273119447715 |
L(r)(E,1)/r! |
Ω |
0.48150407341713 |
Real period |
R |
1.8314029618373 |
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 |
6720ck3 3360s2 20160dq3 33600gj4 |
Quadratic twists by: -4 8 -3 5 |