Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720a |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-8332994880 = -1 · 26 · 312 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84,-4410] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1230:1] |
Generators of the group modulo torsion |
j |
1012048064/130203045 |
j-invariant |
L |
2.9904142453403 |
L(r)(E,1)/r! |
Ω |
0.61937454198319 |
Real period |
R |
4.8281194053686 |
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 |
6720s1 3360v4 20160bw1 33600cq1 |
Quadratic twists by: -4 8 -3 5 |