Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ed |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1168115821056000 = 212 · 316 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26585,-291225] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1080:1] |
Generators of the group modulo torsion |
j |
507329474113216/285184526625 |
j-invariant |
L |
8.1770057411391 |
L(r)(E,1)/r! |
Ω |
0.40225329244297 |
Real period |
R |
0.42350004207336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880cx2 25440x1 |
Quadratic twists by: -4 8 |