Atkin-Lehner |
2- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728bd |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
100 |
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 |
[4098:73944:1] [5125:243399:1] |
Generators of the group modulo torsion |
j |
-5405283099289026131976/1142489501553907 |
j-invariant |
L |
7.4518842756107 |
L(r)(E,1)/r! |
Ω |
0.040814893074634 |
Real period |
R |
1.825775768163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728y1 32864g1 |
Quadratic twists by: -4 8 |