Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298ck |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2889216 |
Modular degree for the optimal curve |
Δ |
1230138738088128 = 26 · 37 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 3 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2847758,1850416989] |
[a1,a2,a3,a4,a6] |
j |
16344205014841/7872 |
j-invariant |
L |
9.5237928640982 |
L(r)(E,1)/r! |
Ω |
0.39682471151593 |
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 |
29766o1 89298bk1 |
Quadratic twists by: -3 -11 |