Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080t |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
4271310891225000000 = 26 · 320 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57408753,-167423033752] |
[a1,a2,a3,a4,a6] |
Generators |
[310733156646371195829476:15776759889751052734129294:31084757195961989521] |
Generators of the group modulo torsion |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
4.2256714431698 |
L(r)(E,1)/r! |
Ω |
0.054847272021505 |
Real period |
R |
38.522166075215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080n1 20160fi2 3360q1 50400df1 |
Quadratic twists by: -4 8 -3 5 |