Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960o |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
49 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
-126501542939842560 = -1 · 211 · 37 · 5 · 77 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-948176,-356098656] |
[a1,a2,a3,a4,a6] |
j |
-46032132321966895778/61768331513595 |
j-invariant |
L |
3.7480763182055 |
L(r)(E,1)/r! |
Ω |
0.076491353432766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31920d1 127680bq1 47880p1 79800a1 |
Quadratic twists by: -4 8 -3 5 |