Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bq |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13600000000000000 = -1 · 217 · 514 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51700,-3318000] |
[a1,a2,a3,a4,a6] |
j |
7462174302/6640625 |
j-invariant |
L |
0.87318106508761 |
L(r)(E,1)/r! |
Ω |
0.21829526627177 |
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 |
27200a3 6800a4 5440v4 |
Quadratic twists by: -4 8 5 |