Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15756c |
Isogeny class |
Conductor |
15756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13108992 = 28 · 3 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1620,24564] |
[a1,a2,a3,a4,a6] |
Generators |
[202:159:8] |
Generators of the group modulo torsion |
j |
1837794070096/51207 |
j-invariant |
L |
3.7081868924205 |
L(r)(E,1)/r! |
Ω |
2.0833732955013 |
Real period |
R |
3.5597911333774 |
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 |
63024h2 47268e2 |
Quadratic twists by: -4 -3 |