Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408p |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-126125376 = -1 · 26 · 3 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,-546] |
[a1,a2,a3,a4,a6] |
Generators |
[106:365:8] [154:665:8] |
Generators of the group modulo torsion |
j |
78402752/1970709 |
j-invariant |
L |
7.4925057768087 |
L(r)(E,1)/r! |
Ω |
0.89823005825182 |
Real period |
R |
16.682821306134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bb1 28704k2 |
Quadratic twists by: -4 8 |