Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390ba |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
59901930000 = 24 · 38 · 54 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11996,504576] |
[a1,a2,a3,a4,a6] |
Generators |
[10:616:1] |
Generators of the group modulo torsion |
j |
190912931384200129/59901930000 |
j-invariant |
L |
7.8758714371797 |
L(r)(E,1)/r! |
Ω |
1.0872203672173 |
Real period |
R |
1.8110108296945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82170be1 |
Quadratic twists by: -3 |