Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10556a |
Isogeny class |
Conductor |
10556 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
3842384 = 24 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-469,3756] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-91:1] |
Generators of the group modulo torsion |
j |
714575183872/240149 |
j-invariant |
L |
2.1294147363939 |
L(r)(E,1)/r! |
Ω |
2.4333812344482 |
Real period |
R |
0.29169490669318 |
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 |
42224m1 95004c1 73892o1 |
Quadratic twists by: -4 -3 -7 |