Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240p |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18849490560000 = 210 · 38 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120603,-16119398] |
[a1,a2,a3,a4,a6] |
Generators |
[26468:139293:64] |
Generators of the group modulo torsion |
j |
259878624962404/25250625 |
j-invariant |
L |
6.1400843520063 |
L(r)(E,1)/r! |
Ω |
0.25619022724839 |
Real period |
R |
5.9917238236999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24120i2 16080l2 |
Quadratic twists by: -4 -3 |