Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192p |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
21732480 |
Modular degree for the optimal curve |
Δ |
-2.0779061810385E+25 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 2 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2336599832,43473276262956] |
[a1,a2,a3,a4,a6] |
Generators |
[33823:1771146:1] |
Generators of the group modulo torsion |
j |
-2755540349064140770138698691784/40584105098407543642983 |
j-invariant |
L |
4.5686863645846 |
L(r)(E,1)/r! |
Ω |
0.062323749777276 |
Real period |
R |
0.37023082919366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36192g1 72384ci1 108576bf1 |
Quadratic twists by: -4 8 -3 |