Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ee |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
-4522138875000000 = -1 · 26 · 35 · 59 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17475,3116673] |
[a1,a2,a3,a4,a6] |
Generators |
[96:2385:1] |
Generators of the group modulo torsion |
j |
9220838993985536/70658419921875 |
j-invariant |
L |
8.4208284215258 |
L(r)(E,1)/r! |
Ω |
0.31755869248126 |
Real period |
R |
0.19642512802547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880t2 12720o2 |
Quadratic twists by: -4 8 |