Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bx |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.4823236258205E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1287219,508443122] |
[a1,a2,a3,a4,a6] |
j |
78993900837812017/8313251597532 |
j-invariant |
L |
2.4733556563123 |
L(r)(E,1)/r! |
Ω |
0.20611297135931 |
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 |
3906g3 124992ga4 10416z3 |
Quadratic twists by: -4 8 -3 |