Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fb |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1654571357798400 = -1 · 215 · 37 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17268,-1751344] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1260:1] [400:8316:1] |
Generators of the group modulo torsion |
j |
23838140152/69264075 |
j-invariant |
L |
11.439932842831 |
L(r)(E,1)/r! |
Ω |
0.242904139146 |
Real period |
R |
11.774122996812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fp3 44640i2 29760bn3 |
Quadratic twists by: -4 8 -3 |