Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dl |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-247927445913600 = -1 · 219 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12852,509328] |
[a1,a2,a3,a4,a6] |
Generators |
[18:864:1] |
Generators of the group modulo torsion |
j |
45499293/48050 |
j-invariant |
L |
3.1704269107148 |
L(r)(E,1)/r! |
Ω |
0.3671954339477 |
Real period |
R |
1.0792709484296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280g2 22320bd2 89280dx2 |
Quadratic twists by: -4 8 -3 |