Atkin-Lehner |
2- 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808l |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9752592384 = 214 · 32 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6544,-201536] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:6:1] |
Generators of the group modulo torsion |
j |
7567631909137/2381004 |
j-invariant |
L |
2.0079179544129 |
L(r)(E,1)/r! |
Ω |
0.53081281832155 |
Real period |
R |
1.8913615922696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726i2 |
Quadratic twists by: -4 |