Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bh |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
103303102464000000 = 220 · 38 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151788,-16702288] |
[a1,a2,a3,a4,a6] |
j |
2023804595449/540562500 |
j-invariant |
L |
0.98678596166851 |
L(r)(E,1)/r! |
Ω |
0.24669647185038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89280ex2 2790bb2 29760o2 |
Quadratic twists by: -4 8 -3 |