Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bs |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
10888192000000000 = 219 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577008,-168820012] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:-56000:1] |
Generators of the group modulo torsion |
j |
331963239764521/170128000 |
j-invariant |
L |
7.6151619870936 |
L(r)(E,1)/r! |
Ω |
0.17322772106458 |
Real period |
R |
0.91584191647929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850t1 17360bd1 |
Quadratic twists by: -4 5 |