Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336by |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-374732135571456 = -1 · 213 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11661,795314] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-1352:1] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
3.1762568181664 |
L(r)(E,1)/r! |
Ω |
0.37151251791319 |
Real period |
R |
1.0686910484227 |
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 |
3042f1 97344fq1 2704g1 1872s1 |
Quadratic twists by: -4 8 -3 13 |