Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424j |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-10097824628736 = -1 · 222 · 33 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,543,-152991] |
[a1,a2,a3,a4,a6] |
Generators |
[83:676:1] |
Generators of the group modulo torsion |
j |
67419143/38520144 |
j-invariant |
L |
2.7748474036258 |
L(r)(E,1)/r! |
Ω |
0.33859187656135 |
Real period |
R |
4.0976284366386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424di1 1482f1 |
Quadratic twists by: -4 8 |