Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32175l |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-659688046875 = -1 · 310 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 11+ 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2175,1656] |
[a1,a2,a3,a4,a6] |
Generators |
[5:112:1] |
Generators of the group modulo torsion |
j |
99897344/57915 |
j-invariant |
L |
3.4480803220604 |
L(r)(E,1)/r! |
Ω |
0.54595944851375 |
Real period |
R |
0.78945431099488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10725k1 6435e1 |
Quadratic twists by: -3 5 |