Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786d |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4167932413365135792 = 24 · 39 · 132 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1307787,567528533] |
[a1,a2,a3,a4,a6] |
Generators |
[2122:84637:1] |
Generators of the group modulo torsion |
j |
84893929875/1430416 |
j-invariant |
L |
4.2861666423952 |
L(r)(E,1)/r! |
Ω |
0.24692952831218 |
Real period |
R |
2.1697317052158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786y2 5382a2 |
Quadratic twists by: -3 -23 |