Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570r |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1355850648100 = -1 · 22 · 52 · 136 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2672,-18313] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8243:1] |
Generators of the group modulo torsion |
j |
437245479/280900 |
j-invariant |
L |
9.2786671790308 |
L(r)(E,1)/r! |
Ω |
0.49026387333579 |
Real period |
R |
2.3657329476415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
530b2 |
Quadratic twists by: 13 |