Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880cq |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
572595476889600 = 225 · 35 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10617185,-13312105983] |
[a1,a2,a3,a4,a6] |
Generators |
[-166536662996216618938211:-407461618129811400200:88544008762614804043] |
Generators of the group modulo torsion |
j |
504907690321458001369/2184278400 |
j-invariant |
L |
5.5885868211309 |
L(r)(E,1)/r! |
Ω |
0.083636760927453 |
Real period |
R |
33.409871204904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880bj2 12720bc2 |
Quadratic twists by: -4 8 |