Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36040c |
Isogeny class |
Conductor |
36040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3541290400000000 = -1 · 211 · 58 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57947,-6084714] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:87550:1] |
Generators of the group modulo torsion |
j |
-10507191081324642/1729145703125 |
j-invariant |
L |
3.8084269256839 |
L(r)(E,1)/r! |
Ω |
0.15247938736364 |
Real period |
R |
3.1220834103631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080b3 |
Quadratic twists by: -4 |