Atkin-Lehner |
2- 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742i |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-12892915591714872 = -1 · 23 · 33 · 78 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16163,-5398741] |
[a1,a2,a3,a4,a6] |
j |
466968893472366767/12892915591714872 |
j-invariant |
L |
2.3141427361965 |
L(r)(E,1)/r! |
Ω |
0.19284522801428 |
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 |
107226k3 |
Quadratic twists by: -3 |