Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840da |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
876759552000 = 212 · 310 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4185,-92583] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:80:1] |
Generators of the group modulo torsion |
j |
1979492775616/214052625 |
j-invariant |
L |
6.070333439703 |
L(r)(E,1)/r! |
Ω |
0.59772347224134 |
Real period |
R |
1.6926259163903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840ed1 13920n1 83520fk1 |
Quadratic twists by: -4 8 -3 |