Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bw |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.0353883772103E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16309651,-29706673375] |
[a1,a2,a3,a4,a6] |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
4.4561239206518 |
L(r)(E,1)/r! |
Ω |
0.037134366005432 |
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 |
129360ef1 48510bs1 80850j1 2310o1 |
Quadratic twists by: -4 -3 5 -7 |