Atkin-Lehner |
3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963q |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-809567498911743 = -1 · 32 · 11 · 137 · 194 |
Discriminant |
Eigenvalues |
1 3- 0 -4 11+ 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60506,5884751] |
[a1,a2,a3,a4,a6] |
Generators |
[4161:-14938:27] |
Generators of the group modulo torsion |
j |
-5075146806625/167723127 |
j-invariant |
L |
6.7371816023762 |
L(r)(E,1)/r! |
Ω |
0.50005360581052 |
Real period |
R |
1.6841148409107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8151f1 |
Quadratic twists by: 13 |