Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bb |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
15482880 = 214 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,-17745] |
[a1,a2,a3,a4,a6] |
Generators |
[43:96:1] |
Generators of the group modulo torsion |
j |
13674725584/945 |
j-invariant |
L |
4.894495096368 |
L(r)(E,1)/r! |
Ω |
0.80047932298313 |
Real period |
R |
2.0381517905746 |
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 |
6720bt1 840a1 20160bd1 33600bd1 |
Quadratic twists by: -4 8 -3 5 |