Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175p |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-10686946359375 = -1 · 314 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5405,-218028] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1215:1] |
Generators of the group modulo torsion |
j |
-1532808577/938223 |
j-invariant |
L |
2.8242613957463 |
L(r)(E,1)/r! |
Ω |
0.27085650645064 |
Real period |
R |
5.2135749529448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725a1 1287e1 |
Quadratic twists by: -3 5 |