Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bi |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-34974454662875000 = -1 · 23 · 56 · 73 · 138 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-262038,-52516469] |
[a1,a2,a3,a4,a6] |
j |
-156116857/2744 |
j-invariant |
L |
0.31618898890844 |
L(r)(E,1)/r! |
Ω |
0.10539633007924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366d2 59150k2 |
Quadratic twists by: 5 13 |