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 |
Δ |
-6720034048 = -1 · 28 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-404,4900] |
[a1,a2,a3,a4,a6] |
Generators |
[4:58:1] |
Generators of the group modulo torsion |
j |
-28556329552/26250133 |
j-invariant |
L |
2.1294147363939 |
L(r)(E,1)/r! |
Ω |
1.2166906172241 |
Real period |
R |
0.58338981338636 |
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 |
42224m2 95004c2 73892o2 |
Quadratic twists by: -4 -3 -7 |