Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650d |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1607562500 = 22 · 56 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47476,3977598] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-89:1] |
Generators of the group modulo torsion |
j |
757378373238577/102884 |
j-invariant |
L |
2.3162981359297 |
L(r)(E,1)/r! |
Ω |
1.169503517675 |
Real period |
R |
0.49514561114627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3026e2 |
Quadratic twists by: 5 |