Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bl |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
13440000 = 210 · 3 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
24918016/13125 |
j-invariant |
L |
3.2980313504892 |
L(r)(E,1)/r! |
Ω |
1.8095772602375 |
Real period |
R |
1.8225424373737 |
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 |
6720p1 1680i1 20160fb1 33600fw1 |
Quadratic twists by: -4 8 -3 5 |