Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18963c |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-46850537727 = -1 · 33 · 79 · 43 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,579,8784] |
[a1,a2,a3,a4,a6] |
Generators |
[-11572:79126:1331] |
Generators of the group modulo torsion |
j |
19683/43 |
j-invariant |
L |
6.5070429195245 |
L(r)(E,1)/r! |
Ω |
0.78654443831174 |
Real period |
R |
8.2729501380639 |
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 |
18963f1 18963d1 |
Quadratic twists by: -3 -7 |