Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fc |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
12320000000000 = 214 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 1 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50000,4300000] |
[a1,a2,a3,a4,a6] |
Generators |
[42903:18383:343] |
Generators of the group modulo torsion |
j |
86400000/77 |
j-invariant |
L |
5.5213816605368 |
L(r)(E,1)/r! |
Ω |
0.707868282714 |
Real period |
R |
7.8000127607594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200j1 30800k1 123200gm1 |
Quadratic twists by: -4 8 5 |