Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834v |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3550749039197178 = -1 · 2 · 3 · 7 · 132 · 298 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23121,-2525565] |
[a1,a2,a3,a4,a6] |
j |
1366917738131980943/3550749039197178 |
j-invariant |
L |
3.6636767182624 |
L(r)(E,1)/r! |
Ω |
0.2289797948914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672be5 47502t5 110838bp5 |
Quadratic twists by: -4 -3 -7 |