Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fe |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-32099328000000000 = -1 · 219 · 36 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3240588,-2245365488] |
[a1,a2,a3,a4,a6] |
j |
-19693718244927649/167968750 |
j-invariant |
L |
2.0254230508923 |
L(r)(E,1)/r! |
Ω |
0.056261768823436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bj3 30960bv3 13760t3 |
Quadratic twists by: -4 8 -3 |