Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29736p |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2855192675328 = 210 · 39 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,-17890] |
[a1,a2,a3,a4,a6] |
Generators |
[70:270:1] |
Generators of the group modulo torsion |
j |
6929294404/3824793 |
j-invariant |
L |
7.01323674619 |
L(r)(E,1)/r! |
Ω |
0.65958153941881 |
Real period |
R |
2.6582144613878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472v1 9912c1 |
Quadratic twists by: -4 -3 |