Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bg |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
49705884057600 = 220 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,36848] |
[a1,a2,a3,a4,a6] |
j |
454756609/260100 |
j-invariant |
L |
2.1725645800758 |
L(r)(E,1)/r! |
Ω |
0.54314114516667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960ec2 1530e2 16320r2 |
Quadratic twists by: -4 8 -3 |