Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672cd |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-513149479944192 = -1 · 219 · 32 · 73 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103992,-12988332] |
[a1,a2,a3,a4,a6] |
j |
-30364611759131833/125280634752 |
j-invariant |
L |
4.7842574397527 |
L(r)(E,1)/r! |
Ω |
0.13289602688088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834a1 |
Quadratic twists by: -4 |