Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200go |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
630784000 = 216 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:60:1] |
Generators of the group modulo torsion |
j |
1314036/77 |
j-invariant |
L |
4.9440380724065 |
L(r)(E,1)/r! |
Ω |
1.5972245445003 |
Real period |
R |
1.5476966360733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999256738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dm1 30800r1 123200hj1 |
Quadratic twists by: -4 8 5 |