Atkin-Lehner |
2- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616t |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
243771867136 = 215 · 73 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116296,15226228] |
[a1,a2,a3,a4,a6] |
Generators |
[78:2576:1] |
Generators of the group modulo torsion |
j |
42468002165719369/59514616 |
j-invariant |
L |
8.294183148901 |
L(r)(E,1)/r! |
Ω |
0.83879502054196 |
Real period |
R |
0.41200884049764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202c1 |
Quadratic twists by: -4 |