Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939g |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
732030453 = 310 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12132,-511313] |
[a1,a2,a3,a4,a6] |
j |
270902819202625/1004157 |
j-invariant |
L |
0.9097977711113 |
L(r)(E,1)/r! |
Ω |
0.45489888555565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5313c2 111573bc2 |
Quadratic twists by: -3 -7 |