Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024l |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-50116072238226432 = -1 · 210 · 314 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,-10824626] |
[a1,a2,a3,a4,a6] |
Generators |
[6326:503010:1] |
Generators of the group modulo torsion |
j |
-1163101562500/67135084767 |
j-invariant |
L |
6.3678107238537 |
L(r)(E,1)/r! |
Ω |
0.15659231423577 |
Real period |
R |
3.3887416265791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048g1 16008e1 |
Quadratic twists by: -4 -3 |