Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440ba |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65699942400 = 212 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10681,428281] |
[a1,a2,a3,a4,a6] |
Generators |
[41:240:1] |
Generators of the group modulo torsion |
j |
32903353941184/16040025 |
j-invariant |
L |
4.2984038080555 |
L(r)(E,1)/r! |
Ω |
1.0863012534889 |
Real period |
R |
1.9784584598592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958446 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85440bj2 42720m1 |
Quadratic twists by: -4 8 |