Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864be |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-156400958856384 = -1 · 26 · 38 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11211,391520] |
[a1,a2,a3,a4,a6] |
j |
3340021539392/3352215339 |
j-invariant |
L |
4.5588250257851 |
L(r)(E,1)/r! |
Ω |
0.37990208625343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864bc1 24288d1 |
Quadratic twists by: -4 -3 |