Atkin-Lehner |
2+ 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766r |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-63258944153729688 = -1 · 23 · 323 · 7 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1010237,-391096816] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:28831:1] |
Generators of the group modulo torsion |
j |
-114023116161227068043977/63258944153729688 |
j-invariant |
L |
4.7602605797429 |
L(r)(E,1)/r! |
Ω |
0.07529208804229 |
Real period |
R |
1.3744329362806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298bi1 |
Quadratic twists by: -3 |