Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fr |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44673426660556800 = 215 · 310 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-789132,-269627344] |
[a1,a2,a3,a4,a6] |
Generators |
[14852:1806680:1] |
Generators of the group modulo torsion |
j |
2275072354448648/1870130025 |
j-invariant |
L |
6.0333478301067 |
L(r)(E,1)/r! |
Ω |
0.16018932515017 |
Real period |
R |
4.7079821181153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ez4 44640n4 29760bu4 |
Quadratic twists by: -4 8 -3 |