Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770y |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
24638701875840 = 27 · 36 · 5 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7501,70979] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:588:1] |
Generators of the group modulo torsion |
j |
46675053793197649/24638701875840 |
j-invariant |
L |
6.1313013690008 |
L(r)(E,1)/r! |
Ω |
0.58985607379244 |
Real period |
R |
0.37123471067272 |
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 |
50310bg2 83850l2 |
Quadratic twists by: -3 5 |