Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19080i |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-989107200 = -1 · 210 · 36 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,3062] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
5.2715617236009 |
L(r)(E,1)/r! |
Ω |
1.5009131386331 |
Real period |
R |
0.87805909414614 |
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 |
38160d1 2120a1 95400k1 |
Quadratic twists by: -4 -3 5 |