Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880eb |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
279239703920640 = 218 · 33 · 5 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49825,-4221217] |
[a1,a2,a3,a4,a6] |
Generators |
[257:120:1] |
Generators of the group modulo torsion |
j |
52183647114409/1065214935 |
j-invariant |
L |
8.6951449084461 |
L(r)(E,1)/r! |
Ω |
0.31994543747974 |
Real period |
R |
4.5294936208216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880s3 12720n3 |
Quadratic twists by: -4 8 |