Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
660d |
Isogeny class |
Conductor |
660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1452000000 = 28 · 3 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249996,-48194796] |
[a1,a2,a3,a4,a6] |
j |
6749703004355978704/5671875 |
j-invariant |
L |
1.9215808163168 |
L(r)(E,1)/r! |
Ω |
0.21350897959076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2640o4 10560i4 1980d4 3300e4 |
Quadratic twists by: -4 8 -3 5 |