Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91936i |
Isogeny class |
Conductor |
91936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5251568192 = 26 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -4 -4 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1070,-13376] |
[a1,a2,a3,a4,a6] |
Generators |
[82:676:1] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
2.852257625276 |
L(r)(E,1)/r! |
Ω |
0.83667078589963 |
Real period |
R |
1.7045280416498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91936f1 544f1 |
Quadratic twists by: -4 13 |