Atkin-Lehner |
2- 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29928f |
Isogeny class |
Conductor |
29928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87680 |
Modular degree for the optimal curve |
Δ |
-208478448 = -1 · 24 · 35 · 29 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 3 1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21940,-1243559] |
[a1,a2,a3,a4,a6] |
Generators |
[180:779:1] |
Generators of the group modulo torsion |
j |
-73001770593961216/13029903 |
j-invariant |
L |
4.1062034336432 |
L(r)(E,1)/r! |
Ω |
0.19613664805979 |
Real period |
R |
5.2338554195026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59856i1 89784d1 |
Quadratic twists by: -4 -3 |