Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960k |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8618400000000 = -1 · 211 · 34 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3800,110000] |
[a1,a2,a3,a4,a6] |
j |
2962308308398/4208203125 |
j-invariant |
L |
3.9732508376408 |
L(r)(E,1)/r! |
Ω |
0.49665635470509 |
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 |
31920h3 127680s3 47880bh3 79800y3 |
Quadratic twists by: -4 8 -3 5 |