Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2142n |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-229543146 = -1 · 2 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1514,-22301] |
[a1,a2,a3,a4,a6] |
j |
-19486825371/11662 |
j-invariant |
L |
2.2961283712388 |
L(r)(E,1)/r! |
Ω |
0.38268806187313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136r2 68544w2 2142b1 53550b2 |
Quadratic twists by: -4 8 -3 5 |