Atkin-Lehner |
5+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275j |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-258937116141921875 = -1 · 56 · 711 · 172 · 29 |
Discriminant |
Eigenvalues |
0 -3 5+ 7- 0 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,27500,-24419469] |
[a1,a2,a3,a4,a6] |
Generators |
[965:30012:1] |
Generators of the group modulo torsion |
j |
147197952000000/16571975433083 |
j-invariant |
L |
3.1779865577896 |
L(r)(E,1)/r! |
Ω |
0.14730015067312 |
Real period |
R |
0.49033871939536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451a1 |
Quadratic twists by: 5 |