Atkin-Lehner |
2- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952s |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
1729667792896 = 218 · 174 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 -1 -2 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-30337] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:136:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
7.378401484556 |
L(r)(E,1)/r! |
Ω |
0.66524661858584 |
Real period |
R |
1.3864034185067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952k1 21488h1 |
Quadratic twists by: -4 8 |