Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572d |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
15710901000912 = 24 · 312 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8940,-263603] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:234:1] |
Generators of the group modulo torsion |
j |
6774679552000/1346956533 |
j-invariant |
L |
4.7380077511506 |
L(r)(E,1)/r! |
Ω |
0.49780400668655 |
Real period |
R |
1.5863029383416 |
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 |
54288bv1 4524e1 |
Quadratic twists by: -4 -3 |