Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040p |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
281155524636672000 = 215 · 35 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63507201,-194775968799] |
[a1,a2,a3,a4,a6] |
j |
7347751505995469192/72930375 |
j-invariant |
L |
0.42784237688678 |
L(r)(E,1)/r! |
Ω |
0.053480297110142 |
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 |
47040cm4 23520u4 6720ba4 |
Quadratic twists by: -4 8 -7 |