Atkin-Lehner |
2+ 11- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16082d |
Isogeny class |
Conductor |
16082 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55104 |
Modular degree for the optimal curve |
Δ |
18008974573568 = 214 · 112 · 173 · 432 |
Discriminant |
Eigenvalues |
2+ -2 2 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14220,618698] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1111:1] |
Generators of the group modulo torsion |
j |
317964472921828153/18008974573568 |
j-invariant |
L |
2.8161312679819 |
L(r)(E,1)/r! |
Ω |
0.67978211375037 |
Real period |
R |
0.69044948644042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128656q1 |
Quadratic twists by: -4 |