Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bq |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
1607981448926736 = 24 · 36 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 1 5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257049,50124555] |
[a1,a2,a3,a4,a6] |
Generators |
[-60446794:161849845:103823] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
6.8245515473437 |
L(r)(E,1)/r! |
Ω |
0.47145799483283 |
Real period |
R |
14.47541800572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6084h1 97344fj1 2704l1 24336bv1 |
Quadratic twists by: -4 8 -3 13 |