Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992l |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1368327168 = -1 · 210 · 37 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,1766] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:36:1] |
Generators of the group modulo torsion |
j |
48668/1833 |
j-invariant |
L |
3.7253837237906 |
L(r)(E,1)/r! |
Ω |
1.1502529559959 |
Real period |
R |
0.80968792654799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984i1 14664a1 |
Quadratic twists by: -4 -3 |