Atkin-Lehner |
2+ 3- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362d |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
743424 |
Modular degree for the optimal curve |
Δ |
-4022967613560127488 = -1 · 216 · 318 · 23 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-530163,177300981] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:15021:1] |
Generators of the group modulo torsion |
j |
-22606060726431343153/5518474092675072 |
j-invariant |
L |
2.7284637769316 |
L(r)(E,1)/r! |
Ω |
0.23565298494811 |
Real period |
R |
2.8945779930738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11454b1 |
Quadratic twists by: -3 |