Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362bc |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
828837701452661922 = 2 · 34 · 78 · 316 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-878374,313744610] |
[a1,a2,a3,a4,a6] |
j |
84448510979617/933897762 |
j-invariant |
L |
2.2658814826668 |
L(r)(E,1)/r! |
Ω |
0.28323518533644 |
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 |
121086g6 42a5 |
Quadratic twists by: -3 -31 |