Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248x |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13672695039510528 = 211 · 310 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63003,2323690] |
[a1,a2,a3,a4,a6] |
j |
18524646126002/9157915809 |
j-invariant |
L |
4.2270035446964 |
L(r)(E,1)/r! |
Ω |
0.35225029539108 |
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 |
15624t2 124992hb2 10416n2 |
Quadratic twists by: -4 8 -3 |