Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440ba |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
131235840 = 215 · 32 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170881,27245761] |
[a1,a2,a3,a4,a6] |
Generators |
[1930:483:8] |
Generators of the group modulo torsion |
j |
16840603438698248/4005 |
j-invariant |
L |
4.2984038080555 |
L(r)(E,1)/r! |
Ω |
1.0863012534889 |
Real period |
R |
3.9569169197184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bj4 42720m4 |
Quadratic twists by: -4 8 |