Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dz |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[823:8560:1] |
Generators of the group modulo torsion |
j |
-2414106867537267904/38894775880807 |
j-invariant |
L |
6.7054764554574 |
L(r)(E,1)/r! |
Ω |
0.092222711825889 |
Real period |
R |
6.0591332810845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344do2 56672bd1 |
Quadratic twists by: -4 8 |