Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642bi |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
121413768 = 23 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-269697,53886657] |
[a1,a2,a3,a4,a6] |
j |
18440127492397057/1032 |
j-invariant |
L |
6.104523577551 |
L(r)(E,1)/r! |
Ω |
1.0174205962585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136bs4 37926o4 258d3 |
Quadratic twists by: -4 -3 -7 |