Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196g |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2048976 |
Modular degree for the optimal curve |
Δ |
-38158732547698672 = -1 · 24 · 7 · 132 · 1710 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8212898,9062003753] |
[a1,a2,a3,a4,a6] |
Generators |
[1744:6333:1] |
Generators of the group modulo torsion |
j |
-1899344992000/1183 |
j-invariant |
L |
9.767950066945 |
L(r)(E,1)/r! |
Ω |
0.30085986638656 |
Real period |
R |
5.4111294282339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196p1 |
Quadratic twists by: 17 |