Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1224b |
Isogeny class |
Conductor |
1224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-215737344 = -1 · 210 · 36 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-290] |
[a1,a2,a3,a4,a6] |
j |
415292/289 |
j-invariant |
L |
2.0051741251668 |
L(r)(E,1)/r! |
Ω |
1.0025870625834 |
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 |
2448c2 9792l2 136a2 30600ci2 |
Quadratic twists by: -4 8 -3 5 |