Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856ba |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
243828803882106432 = 26 · 315 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2583417,-1598055640] |
[a1,a2,a3,a4,a6] |
j |
40869539953013031616/5226097476897 |
j-invariant |
L |
0.47633692522865 |
L(r)(E,1)/r! |
Ω |
0.11908423161277 |
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 |
53856v1 107712dq2 17952d1 |
Quadratic twists by: -4 8 -3 |