Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bz |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1774094400000000 = 212 · 38 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46008,-3228012] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:750:1] |
Generators of the group modulo torsion |
j |
168288035761/27720225 |
j-invariant |
L |
5.7232925650579 |
L(r)(E,1)/r! |
Ω |
0.32962242934492 |
Real period |
R |
1.08519855893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
975a2 62400ep2 46800cw2 3120r2 |
Quadratic twists by: -4 8 -3 5 |