Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67777165526630400 = 216 · 316 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723468,-236520592] |
[a1,a2,a3,a4,a6] |
Generators |
[-246633734:-224416800:493039] |
Generators of the group modulo torsion |
j |
876545031670276/1418652225 |
j-invariant |
L |
6.8458451173737 |
L(r)(E,1)/r! |
Ω |
0.16371442217461 |
Real period |
R |
10.453943264174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906689 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89280dz2 11160p2 29760q2 |
Quadratic twists by: -4 8 -3 |