Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952a |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1496252416 = 216 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ -1 3 3 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,-5279] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] |
Generators of the group modulo torsion |
j |
381775972/22831 |
j-invariant |
L |
7.6861495042696 |
L(r)(E,1)/r! |
Ω |
0.96450995426789 |
Real period |
R |
0.99612107103797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952q1 10744a1 |
Quadratic twists by: -4 8 |