Atkin-Lehner |
2- 3- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290z |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-348811287408000 = -1 · 27 · 32 · 53 · 173 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165071,-25843335] |
[a1,a2,a3,a4,a6] |
j |
-497434867054053506929/348811287408000 |
j-invariant |
L |
4.9737376763912 |
L(r)(E,1)/r! |
Ω |
0.11842232562946 |
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 |
120870o2 |
Quadratic twists by: -3 |