Atkin-Lehner |
3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11223b |
Isogeny class |
Conductor |
11223 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13536 |
Modular degree for the optimal curve |
Δ |
20642093541 = 39 · 293 · 43 |
Discriminant |
Eigenvalues |
-2 3+ -1 0 -3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5913,174872] |
[a1,a2,a3,a4,a6] |
Generators |
[14763:3352:343] [40:48:1] |
Generators of the group modulo torsion |
j |
1161598537728/1048727 |
j-invariant |
L |
3.2418176451682 |
L(r)(E,1)/r! |
Ω |
1.2059761227035 |
Real period |
R |
0.44802125903642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11223a1 |
Quadratic twists by: -3 |