Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bp |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27892489974386688 = 212 · 322 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186339,29899298] |
[a1,a2,a3,a4,a6] |
j |
239633492476897/9341138457 |
j-invariant |
L |
1.484367333333 |
L(r)(E,1)/r! |
Ω |
0.37109183333319 |
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 |
1953d3 124992fe3 10416u3 |
Quadratic twists by: -4 8 -3 |