Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cp |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
122383540224 = 213 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4107,99898] |
[a1,a2,a3,a4,a6] |
Generators |
[29:72:1] |
Generators of the group modulo torsion |
j |
2565726409/40986 |
j-invariant |
L |
7.0229186646569 |
L(r)(E,1)/r! |
Ω |
1.0481743453318 |
Real period |
R |
0.83751795394706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554y1 12144bc1 |
Quadratic twists by: -4 -3 |