Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dz |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-12268339200 = -1 · 222 · 32 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,-5343] |
[a1,a2,a3,a4,a6] |
Generators |
[53:384:1] [23:96:1] |
Generators of the group modulo torsion |
j |
34295/1872 |
j-invariant |
L |
8.9096692905747 |
L(r)(E,1)/r! |
Ω |
0.60593622110118 |
Real period |
R |
1.8379965127319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400ch1 15600ch1 62400ic1 |
Quadratic twists by: -4 8 5 |