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 |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
67207583823298560 = 232 · 310 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-663905,-207617535] |
[a1,a2,a3,a4,a6] |
Generators |
[-9922990248211:-12009270132736:20865011777] |
Generators of the group modulo torsion |
j |
123453174678896089/256376586240 |
j-invariant |
L |
5.5885868211309 |
L(r)(E,1)/r! |
Ω |
0.16727352185491 |
Real period |
R |
16.704935602452 |
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 |
50880bj1 12720bc1 |
Quadratic twists by: -4 8 |