Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888bl |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-21041856 = -1 · 26 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 5 11- 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[7:26:1] |
Generators of the group modulo torsion |
j |
592704/451 |
j-invariant |
L |
10.464208037161 |
L(r)(E,1)/r! |
Ω |
1.2030646319732 |
Real period |
R |
2.1744899878898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888i1 14432a1 |
Quadratic twists by: -4 -3 |