Atkin-Lehner |
3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605h |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10874267578125 = 32 · 512 · 72 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-237878,-44675377] |
[a1,a2,a3,a4,a6] |
j |
1488620251706326585561/10874267578125 |
j-invariant |
L |
2.5941353998869 |
L(r)(E,1)/r! |
Ω |
0.21617794999057 |
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 |
31815a4 53025f4 74235a4 |
Quadratic twists by: -3 5 -7 |