Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988be |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
74954100722256 = 24 · 39 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25284,-1490335] |
[a1,a2,a3,a4,a6] |
j |
1302642688/54621 |
j-invariant |
L |
2.2775199877999 |
L(r)(E,1)/r! |
Ω |
0.37958666463297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952ez1 9996g1 4284i1 |
Quadratic twists by: -4 -3 -7 |