Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080cf |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
57153600 = 26 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] |
Generators of the group modulo torsion |
j |
3796416/1225 |
j-invariant |
L |
4.7288581279494 |
L(r)(E,1)/r! |
Ω |
1.4887937770454 |
Real period |
R |
1.5881508241303 |
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 |
10080y1 20160br2 1120c1 50400bc1 |
Quadratic twists by: -4 8 -3 5 |