Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10176k |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-1266057216 = -1 · 215 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 3 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3265,70751] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-24:1] |
Generators of the group modulo torsion |
j |
-117504998792/38637 |
j-invariant |
L |
5.3901885334061 |
L(r)(E,1)/r! |
Ω |
1.5004848412039 |
Real period |
R |
0.14967907887142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10176e1 5088e1 30528k1 |
Quadratic twists by: -4 8 -3 |