Atkin-Lehner |
2+ 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774w |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-1.1156904553279E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,551907,-30482163] |
[a1,a2,a3,a4,a6] |
j |
25503127865684724527/15304395820683816 |
j-invariant |
L |
2.6459721527014 |
L(r)(E,1)/r! |
Ω |
0.13229860869163 |
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 |
27258bp1 |
Quadratic twists by: -3 |