Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9594p |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
167856624 = 24 · 39 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-302,-1843] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
6.5584626009195 |
L(r)(E,1)/r! |
Ω |
1.1494864013092 |
Real period |
R |
0.71319488789187 |
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 |
76752bo1 3198c1 124722s1 |
Quadratic twists by: -4 -3 13 |