Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175m |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-203607421875 = -1 · 36 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,-26969] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1687:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
3.7506477238558 |
L(r)(E,1)/r! |
Ω |
0.38914988514284 |
Real period |
R |
1.2047567875033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575b1 6435i1 |
Quadratic twists by: -3 5 |