Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23829k |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
70659864503787 = 3 · 136 · 474 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10482,82981] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1442:1] |
Generators of the group modulo torsion |
j |
26383748833/14639043 |
j-invariant |
L |
5.7977128278915 |
L(r)(E,1)/r! |
Ω |
0.53388671833366 |
Real period |
R |
2.7148609568276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71487j3 141c3 |
Quadratic twists by: -3 13 |