Atkin-Lehner |
3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537h |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1796250565300059 = -1 · 34 · 11 · 1710 |
Discriminant |
Eigenvalues |
0 3- -1 0 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-111361,14411239] |
[a1,a2,a3,a4,a6] |
j |
-75759616/891 |
j-invariant |
L |
1.8886344310271 |
L(r)(E,1)/r! |
Ω |
0.47215860775679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28611n1 104907ba1 9537g1 |
Quadratic twists by: -3 -11 17 |