Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966l |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59565294386208 = 25 · 36 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-258855,50754653] |
[a1,a2,a3,a4,a6] |
j |
545138290809/16928 |
j-invariant |
L |
4.6588626851346 |
L(r)(E,1)/r! |
Ω |
0.58235783810356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7774d2 414d2 |
Quadratic twists by: -3 13 |