Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442m |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1246188559548816 = 24 · 32 · 138 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28565,751376] |
[a1,a2,a3,a4,a6] |
j |
534003898897/258180624 |
j-invariant |
L |
3.4513685599419 |
L(r)(E,1)/r! |
Ω |
0.43142104733656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8034k2 |
Quadratic twists by: 13 |