Atkin-Lehner |
2+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54464g |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
1252672 = 26 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,293] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:23:1] [4:5:1] |
Generators of the group modulo torsion |
j |
862801408/19573 |
j-invariant |
L |
7.7944672415273 |
L(r)(E,1)/r! |
Ω |
2.7220183338861 |
Real period |
R |
1.4317440746997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464k1 27232a1 |
Quadratic twists by: -4 8 |