Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572c |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-1159] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:29:1] |
Generators of the group modulo torsion |
j |
256000000/98397 |
j-invariant |
L |
5.1636838098719 |
L(r)(E,1)/r! |
Ω |
1.1850557750022 |
Real period |
R |
0.72622233186481 |
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 |
54288bu1 4524b1 |
Quadratic twists by: -4 -3 |