Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cm |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1245197016000 = 26 · 33 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5300,-140250] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1470:1] |
Generators of the group modulo torsion |
j |
257307998572864/19456203375 |
j-invariant |
L |
5.1175270297231 |
L(r)(E,1)/r! |
Ω |
0.56220645586838 |
Real period |
R |
0.50569867037137 |
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 |
6720bp1 3360e2 20160ef1 33600ep1 |
Quadratic twists by: -4 8 -3 5 |