Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728y |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3763200 |
Modular degree for the optimal curve |
Δ |
-3.7437095986918E+19 |
Discriminant |
Eigenvalues |
2- 0 -3 5 -5 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11699884,15406349424] |
[a1,a2,a3,a4,a6] |
Generators |
[1960:2028:1] |
Generators of the group modulo torsion |
j |
-5405283099289026131976/1142489501553907 |
j-invariant |
L |
4.9622106894102 |
L(r)(E,1)/r! |
Ω |
0.19968157550616 |
Real period |
R |
2.4850618674727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728bd1 32864c1 |
Quadratic twists by: -4 8 |