Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400a |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3760000000 = 210 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 3 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[28:100:1] |
Generators of the group modulo torsion |
j |
470596/235 |
j-invariant |
L |
5.2951748977291 |
L(r)(E,1)/r! |
Ω |
1.1185368242984 |
Real period |
R |
0.59175241068287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800d1 75200e1 84600bs1 1880c1 |
Quadratic twists by: -4 8 -3 5 |