Atkin-Lehner |
2+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31552l |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-149397962752 = -1 · 220 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 2 0 5 0 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607,-17887] |
[a1,a2,a3,a4,a6] |
Generators |
[19:12:1] |
Generators of the group modulo torsion |
j |
94196375/569908 |
j-invariant |
L |
9.2967080056547 |
L(r)(E,1)/r! |
Ω |
0.51467030250993 |
Real period |
R |
3.0105707026798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552v1 986a1 |
Quadratic twists by: -4 8 |