Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bk |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131698357436160000 = 211 · 37 · 54 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-442947,112117214] |
[a1,a2,a3,a4,a6] |
j |
136835858/1875 |
j-invariant |
L |
5.2765551653778 |
L(r)(E,1)/r! |
Ω |
0.32978475388377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320t3 360d3 |
Quadratic twists by: -3 -19 |