Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710t |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
55812240 = 24 · 37 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-909,10773] |
[a1,a2,a3,a4,a6] |
Generators |
[19:0:1] |
Generators of the group modulo torsion |
j |
114013572049/76560 |
j-invariant |
L |
4.1131295134485 |
L(r)(E,1)/r! |
Ω |
1.9668322884075 |
Real period |
R |
2.0912456734065 |
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 |
9570x1 |
Quadratic twists by: -3 |