Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248by |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8687582136601E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16528539,2212418122] |
[a1,a2,a3,a4,a6] |
j |
167239798814188068697/96074132133998592 |
j-invariant |
L |
2.9958541926514 |
L(r)(E,1)/r! |
Ω |
0.083218172018072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906q2 124992gc2 10416bk2 |
Quadratic twists by: -4 8 -3 |