Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280a |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
948480 = 28 · 3 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1236,-16320] |
[a1,a2,a3,a4,a6] |
Generators |
[44:112:1] |
Generators of the group modulo torsion |
j |
816376477264/3705 |
j-invariant |
L |
5.5799066816079 |
L(r)(E,1)/r! |
Ω |
0.80512957187798 |
Real period |
R |
3.4652227893184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640u1 |
Quadratic twists by: -4 |