Atkin-Lehner |
3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9537g |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-74417211 = -1 · 34 · 11 · 174 |
Discriminant |
Eigenvalues |
0 3+ 1 0 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385,3069] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:76:1] |
Generators of the group modulo torsion |
j |
-75759616/891 |
j-invariant |
L |
3.3585044766048 |
L(r)(E,1)/r! |
Ω |
1.9467598118258 |
Real period |
R |
0.28752943362635 |
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 |
28611j1 104907t1 9537h1 |
Quadratic twists by: -3 -11 17 |