Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fv |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1195196525614080 = 210 · 32 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26781,-272259] |
[a1,a2,a3,a4,a6] |
Generators |
[2325:111804:1] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
6.6576069923643 |
L(r)(E,1)/r! |
Ω |
0.40163245417215 |
Real period |
R |
4.1440917355437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ds1 29040bp1 10560bq1 |
Quadratic twists by: -4 8 -11 |