Atkin-Lehner |
2+ 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766p |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-19142926193664 = -1 · 210 · 310 · 73 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2951,201500] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:434:1] |
Generators of the group modulo torsion |
j |
2843432207054711/19142926193664 |
j-invariant |
L |
4.9155886175918 |
L(r)(E,1)/r! |
Ω |
0.49873335769388 |
Real period |
R |
0.49280728286579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298bg1 |
Quadratic twists by: -3 |