Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552bo |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-109295972352 = -1 · 212 · 38 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-16153] |
[a1,a2,a3,a4,a6] |
Generators |
[41:204:1] |
Generators of the group modulo torsion |
j |
-830584000/26683587 |
j-invariant |
L |
8.9263515870296 |
L(r)(E,1)/r! |
Ω |
0.45966351604987 |
Real period |
R |
2.4274146450055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552k2 55776g1 |
Quadratic twists by: -4 8 |