Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572f |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
13212867741766992 = 24 · 312 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74712,5585465] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:3393:1] |
Generators of the group modulo torsion |
j |
3954096720707584/1132790444253 |
j-invariant |
L |
2.8679668498607 |
L(r)(E,1)/r! |
Ω |
0.37052003660522 |
Real period |
R |
0.21501062819538 |
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 |
54288cb1 4524c1 |
Quadratic twists by: -4 -3 |