Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2142o |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-168643944 = -1 · 23 · 311 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,2553] |
[a1,a2,a3,a4,a6] |
Generators |
[23:69:1] |
Generators of the group modulo torsion |
j |
-5841725401/231336 |
j-invariant |
L |
4.0478531821526 |
L(r)(E,1)/r! |
Ω |
1.797665898626 |
Real period |
R |
0.1876439324852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136bk1 68544y1 714b1 53550bz1 |
Quadratic twists by: -4 8 -3 5 |