Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bx |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
28921234275000000 = 26 · 36 · 58 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141813,-18868383] |
[a1,a2,a3,a4,a6] |
Generators |
[792:-19521:1] |
Generators of the group modulo torsion |
j |
20186080966364041/1850958993600 |
j-invariant |
L |
11.832353602495 |
L(r)(E,1)/r! |
Ω |
0.2474640295862 |
Real period |
R |
0.33204471121365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690g2 |
Quadratic twists by: 5 |