Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850de |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27012389874750 = 2 · 38 · 53 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3292182,-2298361874] |
[a1,a2,a3,a4,a6] |
j |
43304971114320697781/296432262 |
j-invariant |
L |
0.8966409599585 |
L(r)(E,1)/r! |
Ω |
0.11208012061723 |
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 |
19950ck2 59850fy2 |
Quadratic twists by: -3 5 |