Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cc |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-35942400000000 = -1 · 218 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-292812] |
[a1,a2,a3,a4,a6] |
Generators |
[103:750:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
6.3216712605088 |
L(r)(E,1)/r! |
Ω |
0.28186424511997 |
Real period |
R |
1.8690059044257 |
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 |
1950a1 62400eu1 46800dc1 3120q1 |
Quadratic twists by: -4 8 -3 5 |