Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744cd |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-127875391104731904 = -1 · 28 · 321 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71304,-15565988] |
[a1,a2,a3,a4,a6] |
Generators |
[78670:2086398:125] |
Generators of the group modulo torsion |
j |
214831469453312/685203355971 |
j-invariant |
L |
10.79827043119 |
L(r)(E,1)/r! |
Ω |
0.16846411629733 |
Real period |
R |
4.0061463441713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436l1 43248z1 |
Quadratic twists by: -4 -3 |