Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075a |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
2.4181674720486E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1943383,-1014920832] |
[a1,a2,a3,a4,a6] |
Generators |
[-842:4873:1] |
Generators of the group modulo torsion |
j |
3058794496/91125 |
j-invariant |
L |
3.095749754484 |
L(r)(E,1)/r! |
Ω |
0.12810063797107 |
Real period |
R |
1.0069393497684 |
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 |
81225o1 5415j1 27075p1 |
Quadratic twists by: -3 5 -19 |