Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9537k |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-6768570469244859 = -1 · 36 · 113 · 178 |
Discriminant |
Eigenvalues |
0 3- 3 2 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-533879,150019865] |
[a1,a2,a3,a4,a6] |
Generators |
[3175:174559:1] |
Generators of the group modulo torsion |
j |
-2412468600832/970299 |
j-invariant |
L |
5.4353356007867 |
L(r)(E,1)/r! |
Ω |
0.41395320954789 |
Real period |
R |
6.5651569735659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28611y1 104907bk1 9537f1 |
Quadratic twists by: -3 -11 17 |