Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234d |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
75002436 = 22 · 36 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17091,-855743] |
[a1,a2,a3,a4,a6] |
Generators |
[10484:49073:64] |
Generators of the group modulo torsion |
j |
757378373238577/102884 |
j-invariant |
L |
4.7884468600234 |
L(r)(E,1)/r! |
Ω |
0.41754808724211 |
Real period |
R |
5.7340064609695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3026e2 |
Quadratic twists by: -3 |