Atkin-Lehner |
2- 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ch |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-9114728638893696 = -1 · 27 · 36 · 73 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21766,4418489] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:423:1] [297:-6233:1] |
Generators of the group modulo torsion |
j |
1564410650670503/12503057117824 |
j-invariant |
L |
14.736224956096 |
L(r)(E,1)/r! |
Ω |
0.29991781359506 |
Real period |
R |
0.19497702541002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738d1 |
Quadratic twists by: -3 |