Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bb |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
24415367341500000 = 25 · 33 · 56 · 232 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256403,49467987] |
[a1,a2,a3,a4,a6] |
Generators |
[3171:122026:27] |
Generators of the group modulo torsion |
j |
69044273914043132307/904272864500000 |
j-invariant |
L |
11.292256787977 |
L(r)(E,1)/r! |
Ω |
0.3796125641841 |
Real period |
R |
0.74366985232102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010g2 |
Quadratic twists by: -3 |