Atkin-Lehner |
5- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275m |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162823841796875 = 59 · 73 · 172 · 292 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-229950,42342125] |
[a1,a2,a3,a4,a6] |
Generators |
[1611924660:5985174295:5000211] |
Generators of the group modulo torsion |
j |
688488777934901/83365807 |
j-invariant |
L |
12.649752936888 |
L(r)(E,1)/r! |
Ω |
0.55263645571754 |
Real period |
R |
11.444913563912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86275r2 |
Quadratic twists by: 5 |