Atkin-Lehner |
2- 3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bk |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-1897769250 = -1 · 2 · 38 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4568,119981] |
[a1,a2,a3,a4,a6] |
Generators |
[318:-109:8] |
Generators of the group modulo torsion |
j |
-14457238157881/2603250 |
j-invariant |
L |
11.905184281328 |
L(r)(E,1)/r! |
Ω |
1.4353723137282 |
Real period |
R |
2.0735359334129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710p1 |
Quadratic twists by: -3 |