Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960bq |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-7615005696000000 = -1 · 216 · 36 · 56 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45375,-1930977] |
[a1,a2,a3,a4,a6] |
Generators |
[243:-4848:1] [51:720:1] |
Generators of the group modulo torsion |
j |
157646424207164/116195765625 |
j-invariant |
L |
13.030533967711 |
L(r)(E,1)/r! |
Ω |
0.23375526539703 |
Real period |
R |
0.77422700247528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cw2 12120k2 |
Quadratic twists by: -4 8 |