Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008a |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
576622592 = 212 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1076,-13536] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:7:1] |
Generators of the group modulo torsion |
j |
33635708352/140777 |
j-invariant |
L |
4.5294559478265 |
L(r)(E,1)/r! |
Ω |
0.83378837789364 |
Real period |
R |
1.3580951944112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008r1 49504h1 |
Quadratic twists by: -4 8 |