Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165y |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
135383666204475 = 310 · 52 · 136 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12848,-28897] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:760:1] |
Generators of the group modulo torsion |
j |
48587168449/28048275 |
j-invariant |
L |
10.702189100438 |
L(r)(E,1)/r! |
Ω |
0.48942526821595 |
Real period |
R |
2.1866850355809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
285a2 |
Quadratic twists by: 13 |