Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128744b |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-230709248 = -1 · 211 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-724] |
[a1,a2,a3,a4,a6] |
Generators |
[13:28:1] |
Generators of the group modulo torsion |
j |
-29282/931 |
j-invariant |
L |
3.0395606738048 |
L(r)(E,1)/r! |
Ω |
0.76792867892398 |
Real period |
R |
1.9790644501854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999221341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128744j1 |
Quadratic twists by: -11 |