Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440m |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12252738637440000 = -1 · 210 · 34 · 54 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50840,-2965600] |
[a1,a2,a3,a4,a6] |
j |
14191615585657436/11965565075625 |
j-invariant |
L |
3.541401863998 |
L(r)(E,1)/r! |
Ω |
0.22133761650033 |
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 |
68880o3 103320z3 |
Quadratic twists by: -4 -3 |