Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320f |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86122400000 = 28 · 55 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216636,-38882336] |
[a1,a2,a3,a4,a6] |
j |
1999160117594512/153125 |
j-invariant |
L |
0.44258503800348 |
L(r)(E,1)/r! |
Ω |
0.22129251906057 |
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 |
94640q2 47320bk2 |
Quadratic twists by: -4 13 |