Atkin-Lehner |
3- 5- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945p |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
759110185521180675 = 322 · 52 · 74 · 13 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-543879,-148447890] |
[a1,a2,a3,a4,a6] |
j |
24406387600399782769/1041303409494075 |
j-invariant |
L |
2.8202460483537 |
L(r)(E,1)/r! |
Ω |
0.17626537388189 |
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 |
42315d4 |
Quadratic twists by: -3 |