Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cl |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-128110755840 = -1 · 216 · 3 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799,15135] |
[a1,a2,a3,a4,a6] |
Generators |
[21:204:1] |
Generators of the group modulo torsion |
j |
859687196/1954815 |
j-invariant |
L |
4.6704151942894 |
L(r)(E,1)/r! |
Ω |
0.72478383173493 |
Real period |
R |
3.2219366587619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240i4 4560f4 54720eo3 91200fl3 |
Quadratic twists by: -4 8 -3 5 |