Atkin-Lehner |
3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475j |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2261096015625 = 36 · 57 · 29 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18813,988992] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1419:1] |
Generators of the group modulo torsion |
j |
47128030999561/144710145 |
j-invariant |
L |
3.9502576047183 |
L(r)(E,1)/r! |
Ω |
0.82355626209324 |
Real period |
R |
0.39971541603199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095b2 |
Quadratic twists by: 5 |