Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770g |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
Δ |
2874205646325000 = 23 · 314 · 55 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1735293,879698608] |
[a1,a2,a3,a4,a6] |
Generators |
[794:1215:1] |
Generators of the group modulo torsion |
j |
577885499337127679710921/2874205646325000 |
j-invariant |
L |
4.6042507374971 |
L(r)(E,1)/r! |
Ω |
0.40026187855347 |
Real period |
R |
0.32865988024331 |
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 |
50310br2 83850bv2 |
Quadratic twists by: -3 5 |