Atkin-Lehner |
2+ 3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826j |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3002227284638736 = -1 · 24 · 38 · 78 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16632,-2507760] |
[a1,a2,a3,a4,a6] |
j |
697934914604927/4118281597584 |
j-invariant |
L |
1.8044705400771 |
L(r)(E,1)/r! |
Ω |
0.22555881733942 |
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 |
18942q2 |
Quadratic twists by: -3 |