Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232g |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-53834118912 = -1 · 28 · 36 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,681,8822] |
[a1,a2,a3,a4,a6] |
Generators |
[89:880:1] |
Generators of the group modulo torsion |
j |
187153328/288463 |
j-invariant |
L |
6.05663298152 |
L(r)(E,1)/r! |
Ω |
0.7621651177251 |
Real period |
R |
3.9733076472968 |
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 |
14616e1 116928dm1 3248a1 |
Quadratic twists by: -4 8 -3 |