Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344do |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-159313002007785472 = -1 · 212 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-447161,116831993] |
[a1,a2,a3,a4,a6] |
j |
-2414106867537267904/38894775880807 |
j-invariant |
L |
5.1890229472046 |
L(r)(E,1)/r! |
Ω |
0.32431394354886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344dz2 56672s1 |
Quadratic twists by: -4 8 |