Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644r |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
714610512 = 24 · 35 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2485,46844] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-63:1] |
Generators of the group modulo torsion |
j |
106110329552896/44663157 |
j-invariant |
L |
5.1358506947279 |
L(r)(E,1)/r! |
Ω |
1.5798875082447 |
Real period |
R |
0.2167179906977 |
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 |
114576bd1 85932bn1 |
Quadratic twists by: -4 -3 |