Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bo |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-337954275648000 = -1 · 29 · 39 · 53 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252977,49045601] |
[a1,a2,a3,a4,a6] |
Generators |
[291:-56:1] |
Generators of the group modulo torsion |
j |
-2456052741013136329/463586112000 |
j-invariant |
L |
9.78843056728 |
L(r)(E,1)/r! |
Ω |
0.52456450887596 |
Real period |
R |
1.0366726855911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9570h2 |
Quadratic twists by: -3 |