Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40053d |
Isogeny class |
Conductor |
40053 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
-129943667529 = -1 · 36 · 134 · 792 |
Discriminant |
Eigenvalues |
-1 3+ -1 4 4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1264,1802] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-185:1] |
Generators of the group modulo torsion |
j |
7819339151/4549689 |
j-invariant |
L |
3.6633544817072 |
L(r)(E,1)/r! |
Ω |
0.62770609971894 |
Real period |
R |
0.48634152237704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159g1 40053c1 |
Quadratic twists by: -3 13 |