Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ec |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
372131718750 = 2 · 39 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42230,3350647] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:835:8] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
10.329997254249 |
L(r)(E,1)/r! |
Ω |
0.89703937144626 |
Real period |
R |
1.4394570605098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450j1 10890h2 54450h2 |
Quadratic twists by: -3 5 -11 |