Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400c |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
2272000000 = 211 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 -2 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1808,30112] |
[a1,a2,a3,a4,a6] |
Generators |
[12:100:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
5.4523058205708 |
L(r)(E,1)/r! |
Ω |
1.4646776881377 |
Real period |
R |
0.46531618054339 |
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 |
14200f1 113600cb1 1136a1 |
Quadratic twists by: -4 8 5 |