Atkin-Lehner |
2- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550w |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
3504128000000 = 217 · 56 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 5 5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-354888,-81521719] |
[a1,a2,a3,a4,a6] |
Generators |
[-118125:61291:343] |
Generators of the group modulo torsion |
j |
316357187835741625/224264192 |
j-invariant |
L |
17.623252748585 |
L(r)(E,1)/r! |
Ω |
0.19560355252946 |
Real period |
R |
2.6499056720219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422c1 |
Quadratic twists by: 5 |