Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
465426000000000000 = 213 · 34 · 512 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-537200,147772500] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:15000:1] |
Generators of the group modulo torsion |
j |
4185743240664514801/113629394531250 |
j-invariant |
L |
5.9496940295748 |
L(r)(E,1)/r! |
Ω |
0.29500814082057 |
Real period |
R |
0.84032907434778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999251 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630r3 |
Quadratic twists by: -4 |