Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288z |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2738814976 = 216 · 232 · 79 |
Discriminant |
Eigenvalues |
2- -3 3 -1 -6 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2956,-61808] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:4:1] |
Generators of the group modulo torsion |
j |
43587009252/41791 |
j-invariant |
L |
4.6029665400987 |
L(r)(E,1)/r! |
Ω |
0.64751293185097 |
Real period |
R |
1.7771716798306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999149683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288l1 29072d1 |
Quadratic twists by: -4 8 |