Atkin-Lehner |
2+ 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226k |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-167250859992 = -1 · 23 · 315 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243,-19683] |
[a1,a2,a3,a4,a6] |
j |
2171747375/229425048 |
j-invariant |
L |
0.96684189599548 |
L(r)(E,1)/r! |
Ω |
0.48342094799774 |
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 |
8742k1 |
Quadratic twists by: -3 |