Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cz |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5224504326193152 = 215 · 36 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47640,1965204] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:2352:1] |
Generators of the group modulo torsion |
j |
2919363263895961/1275513751512 |
j-invariant |
L |
5.7892207140583 |
L(r)(E,1)/r! |
Ω |
0.38747619959721 |
Real period |
R |
0.20751169577479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006c2 |
Quadratic twists by: -4 |