Atkin-Lehner |
2+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888f |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
47888 = 24 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 -5 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
12967168/2993 |
j-invariant |
L |
3.0440848766826 |
L(r)(E,1)/r! |
Ω |
2.5899225415443 |
Real period |
R |
1.1753574973081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23944f1 |
Quadratic twists by: -4 |