Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808m |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
426929484201984 = 222 · 34 · 192 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90744,-10444176] |
[a1,a2,a3,a4,a6] |
Generators |
[-124758:152830:729] |
Generators of the group modulo torsion |
j |
20175407128473337/104230831104 |
j-invariant |
L |
4.567368938839 |
L(r)(E,1)/r! |
Ω |
0.27515647585105 |
Real period |
R |
8.2995846721018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6726c2 |
Quadratic twists by: -4 |