Atkin-Lehner |
2+ 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760d |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4546923577574400 = 210 · 38 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131296,-17978180] |
[a1,a2,a3,a4,a6] |
j |
244445219896217476/4440355056225 |
j-invariant |
L |
0.50216365230869 |
L(r)(E,1)/r! |
Ω |
0.25108182824525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113520l2 |
Quadratic twists by: -4 |