Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824y |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33435476852736 = 215 · 3 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121632,16284660] |
[a1,a2,a3,a4,a6] |
Generators |
[266:1680:1] |
Generators of the group modulo torsion |
j |
48585970090762273/8162958216 |
j-invariant |
L |
7.2480159597934 |
L(r)(E,1)/r! |
Ω |
0.63469010773594 |
Real period |
R |
1.4274714288616 |
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 |
2478e3 79296bm4 59472bj4 |
Quadratic twists by: -4 8 -3 |