Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205x |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17031168 |
Modular degree for the optimal curve |
Δ |
-3611388862632879675 = -1 · 312 · 52 · 437 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 -1 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-299543547,-1995437208780] |
[a1,a2,a3,a4,a6] |
j |
-645008376471556096/783675 |
j-invariant |
L |
0.29031850698529 |
L(r)(E,1)/r! |
Ω |
0.018144899494024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27735j1 1935g1 |
Quadratic twists by: -3 -43 |