Atkin-Lehner |
2+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23998d |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
3455136071998 = 2 · 136 · 713 |
Discriminant |
Eigenvalues |
2+ 1 0 1 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9806,-363686] |
[a1,a2,a3,a4,a6] |
j |
21601086625/715822 |
j-invariant |
L |
1.4422327550957 |
L(r)(E,1)/r! |
Ω |
0.48074425169858 |
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 |
142d2 |
Quadratic twists by: 13 |