Atkin-Lehner |
2+ 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390d |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
7882560 |
Modular degree for the optimal curve |
Δ |
1.27790784E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-404104719,3121952383042] |
[a1,a2,a3,a4,a6] |
Generators |
[-21802:1263609:1] |
Generators of the group modulo torsion |
j |
7298027182764707133024571368169/12779078400000000000000000 |
j-invariant |
L |
4.7176904014909 |
L(r)(E,1)/r! |
Ω |
0.07103769898251 |
Real period |
R |
9.4872973265575 |
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 |
82170ca1 |
Quadratic twists by: -3 |