Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510ds |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-11623024717920000 = -1 · 28 · 36 · 54 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14323,5141301] |
[a1,a2,a3,a4,a6] |
Generators |
[471:-11016:1] |
Generators of the group modulo torsion |
j |
3789119879/135520000 |
j-invariant |
L |
10.270605358533 |
L(r)(E,1)/r! |
Ω |
0.30407768223109 |
Real period |
R |
0.26387699279633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390j1 6930w1 |
Quadratic twists by: -3 -7 |