Atkin-Lehner |
2+ 3+ 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370d |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
239489540322140160 = 213 · 36 · 5 · 132 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-168077,12139101] |
[a1,a2,a3,a4,a6] |
j |
525112809789753846361/239489540322140160 |
j-invariant |
L |
0.56077437869615 |
L(r)(E,1)/r! |
Ω |
0.28038718935041 |
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 |
97110bz2 |
Quadratic twists by: -3 |