Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65736m |
Isogeny class |
Conductor |
65736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50402729862144 = 210 · 310 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18291,-888770] |
[a1,a2,a3,a4,a6] |
j |
906585098692/67519089 |
j-invariant |
L |
3.29966181935 |
L(r)(E,1)/r! |
Ω |
0.41245772828406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21912a2 |
Quadratic twists by: -3 |