Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854n |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
7669547532 = 22 · 35 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -5 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463,20513] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-4:1] |
Generators of the group modulo torsion |
j |
43890625/972 |
j-invariant |
L |
6.697819617393 |
L(r)(E,1)/r! |
Ω |
1.3165049757264 |
Real period |
R |
2.5437881895196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562o1 16854e1 |
Quadratic twists by: -3 53 |