Atkin-Lehner |
3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075t |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4770411389624390625 = 324 · 56 · 23 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-420926,2435123] |
[a1,a2,a3,a4,a6] |
Generators |
[-4554:63023:8] |
Generators of the group modulo torsion |
j |
527860858731041233/305306328935961 |
j-invariant |
L |
11.009299022864 |
L(r)(E,1)/r! |
Ω |
0.20652944220819 |
Real period |
R |
2.2210915198283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3243a4 |
Quadratic twists by: 5 |