Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570bc |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2179768320000 = 216 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7787,256699] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:746:1] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
6.015823246025 |
L(r)(E,1)/r! |
Ω |
0.81517312536516 |
Real period |
R |
0.11530954013853 |
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 |
52560bm1 730a1 32850k1 |
Quadratic twists by: -4 -3 5 |