Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ih |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
1.7696715879368E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6621281,1426329375] |
[a1,a2,a3,a4,a6] |
Generators |
[4759:278784:1] [-686:75141:1] |
Generators of the group modulo torsion |
j |
571305535801/314928000 |
j-invariant |
L |
11.214516579958 |
L(r)(E,1)/r! |
Ω |
0.10675158764044 |
Real period |
R |
0.97270793624745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160bd1 29040ct1 116160if1 |
Quadratic twists by: -4 8 -11 |