Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bz |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-179074359360000000 = -1 · 212 · 316 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83992,-18048012] |
[a1,a2,a3,a4,a6] |
Generators |
[388:8550:1] |
Generators of the group modulo torsion |
j |
1023887723039/2798036865 |
j-invariant |
L |
5.7232925650579 |
L(r)(E,1)/r! |
Ω |
0.16481121467246 |
Real period |
R |
2.17039711786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
975a4 62400ep3 46800cw3 3120r4 |
Quadratic twists by: -4 8 -3 5 |