Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280dp |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
499853721600 = 215 · 39 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35532,2577744] |
[a1,a2,a3,a4,a6] |
Generators |
[124:280:1] |
Generators of the group modulo torsion |
j |
7692038424/775 |
j-invariant |
L |
5.8323645543104 |
L(r)(E,1)/r! |
Ω |
0.89161380918541 |
Real period |
R |
3.270678684061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dw2 44640c2 89280dd2 |
Quadratic twists by: -4 8 -3 |