Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bz |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1560000000000 = 212 · 3 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52000008,144311543988] |
[a1,a2,a3,a4,a6] |
Generators |
[50661364:1134966:12167] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
5.7232925650579 |
L(r)(E,1)/r! |
Ω |
0.32962242934492 |
Real period |
R |
8.6815884714401 |
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 |
975a7 62400ep8 46800cw8 3120r7 |
Quadratic twists by: -4 8 -3 5 |