Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ef |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
165542952960 = 216 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10587,418826] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:810:1] [-35:864:1] |
Generators of the group modulo torsion |
j |
43949604889/55440 |
j-invariant |
L |
9.9857153547 |
L(r)(E,1)/r! |
Ω |
1.0174969292233 |
Real period |
R |
2.4535001207146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bm1 18480br1 |
Quadratic twists by: -4 -3 |