Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bo |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-22154138451720 = -1 · 23 · 315 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,958,225929] |
[a1,a2,a3,a4,a6] |
Generators |
[39:547:1] |
Generators of the group modulo torsion |
j |
133511182631/30389764680 |
j-invariant |
L |
9.78843056728 |
L(r)(E,1)/r! |
Ω |
0.52456450887596 |
Real period |
R |
3.1100180567733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570h1 |
Quadratic twists by: -3 |