Atkin-Lehner |
2- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20140c |
Isogeny class |
Conductor |
20140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
529728 |
Modular degree for the optimal curve |
Δ |
82263629952080 = 24 · 5 · 194 · 534 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13150681,18360064266] |
[a1,a2,a3,a4,a6] |
j |
15719853405797699917103104/5141476872005 |
j-invariant |
L |
4.3529196216531 |
L(r)(E,1)/r! |
Ω |
0.36274330180442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80560g1 100700g1 |
Quadratic twists by: -4 5 |