Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165p |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
169951071840922125 = 35 · 53 · 138 · 193 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 6 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21656561,-38798337730] |
[a1,a2,a3,a4,a6] |
Generators |
[-1376056:28643:512] |
Generators of the group modulo torsion |
j |
1377036312757141504/208342125 |
j-invariant |
L |
6.883603349731 |
L(r)(E,1)/r! |
Ω |
0.06998455149076 |
Real period |
R |
2.1857532851035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165v2 |
Quadratic twists by: 13 |