Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080ce |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1275989841000000 = 26 · 312 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38937,-2406616] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:700:1] |
Generators of the group modulo torsion |
j |
139927692143296/27348890625 |
j-invariant |
L |
4.8512532011539 |
L(r)(E,1)/r! |
Ω |
0.34449548402448 |
Real period |
R |
1.1735163996153 |
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 |
10080bw1 20160ef2 3360e1 50400bb1 |
Quadratic twists by: -4 8 -3 5 |