Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537b |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-594769082627907 = -1 · 32 · 115 · 177 |
Discriminant |
Eigenvalues |
0 3+ 2 -1 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-77837,8466434] |
[a1,a2,a3,a4,a6] |
Generators |
[176:433:1] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
2.9877425520843 |
L(r)(E,1)/r! |
Ω |
0.51778554652743 |
Real period |
R |
0.7212789571189 |
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 |
28611p1 104907h1 561b1 |
Quadratic twists by: -3 -11 17 |