Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
506b |
Isogeny class |
Conductor |
506 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2856 |
Modular degree for the optimal curve |
Δ |
3585639464 = 23 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 11+ 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-290561,60356981] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
0.89516089205849 |
L(r)(E,1)/r! |
Ω |
0.89516089205849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4048i1 16192j1 4554bg1 12650r1 |
Quadratic twists by: -4 8 -3 5 |